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1243197216 = 253217318191
BaseRepresentation
bin100101000011001…
…1010111100100000
310012122021221222100
41022012122330200
510021224302331
6323210010400
742544000452
oct11206327440
93178257870
101243197216
11588830518
122a8416a00
1316a73a371
14bb1762d2
157421eae6
hex4a19af20

1243197216 has 144 divisors (see below), whose sum is σ = 3864526848. Its totient is φ = 377395200.

The previous prime is 1243197169. The next prime is 1243197217. The reversal of 1243197216 is 6127913421.

1243197216 is a `hidden beast` number, since 1 + 2 + 431 + 9 + 7 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243197217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147681 + ... + 155871.

It is an arithmetic number, because the mean of its divisors is an integer number (26836992).

Almost surely, 21243197216 is an apocalyptic number.

1243197216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1243197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932263424).

1243197216 is an abundant number, since it is smaller than the sum of its proper divisors (2621329632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1243197216 is a wasteful number, since it uses less digits than its factorization.

1243197216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8244 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1243197216 is about 35259.0019144048. The cubic root of 1243197216 is about 1075.2596354306.

The spelling of 1243197216 in words is "one billion, two hundred forty-three million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 496 527 544 558 612 744 816 992 1054 1116 1224 1488 1581 1632 2108 2232 2448 2976 3162 4216 4464 4743 4896 6324 8191 8432 8928 9486 12648 16382 16864 18972 24573 25296 32764 37944 49146 50592 65528 73719 75888 98292 131056 139247 147438 151776 196584 253921 262112 278494 294876 393168 417741 507842 556988 589752 761763 786336 835482 1015684 1113976 1179504 1253223 1523526 1670964 2031368 2227952 2285289 2359008 2506446 3047052 3341928 4062736 4316657 4455904 4570578 5012892 6094104 6683856 8125472 8633314 9141156 10025784 12188208 12949971 13367712 17266628 18282312 20051568 24376416 25899942 34533256 36564624 38849913 40103136 51799884 69066512 73129248 77699826 103599768 138133024 155399652 207199536 310799304 414399072 621598608 1243197216