Search a number
-
+
1242991872 = 2833315801
BaseRepresentation
bin100101000010110…
…1000110100000000
310012121220112022000
41022011220310000
510021201214442
6323201344000
742542154003
oct11205506400
93177815260
101242991872
11588700211
122a8338000
1316a697a65
14bb12153a
15741cdd4c
hex4a168d00

1242991872 has 144 divisors (see below), whose sum is σ = 3794972160. Its totient is φ = 400896000.

The previous prime is 1242991861. The next prime is 1242991877. The reversal of 1242991872 is 2781992421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242991877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211372 + ... + 217172.

Almost surely, 21242991872 is an apocalyptic number.

1242991872 is a gapful number since it is divisible by the number (12) 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 1242991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897486080).

1242991872 is an abundant number, since it is smaller than the sum of its proper divisors (2551980288).

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

1242991872 is an equidigital number, since it uses as much as digits as its factorization.

1242991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5837 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1242991872 is about 35256.0898569311. The cubic root of 1242991872 is about 1075.2004304845.

The spelling of 1242991872 in words is "one billion, two hundred forty-two million, nine hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5801 5952 6696 6912 7936 8928 11602 11904 13392 17403 17856 23204 23808 26784 34806 35712 46408 52209 53568 69612 71424 92816 104418 107136 139224 156627 179831 185632 208836 214272 278448 313254 359662 371264 417672 539493 556896 626508 719324 742528 835344 1078986 1113792 1253016 1438648 1485056 1618479 1670688 2157972 2227584 2506032 2877296 3236958 3341376 4315944 4455168 4855437 5012064 5754592 6473916 6682752 8631888 9710874 10024128 11509184 12947832 13365504 17263776 19421748 20048256 23018368 25895664 34527552 38843496 40096512 46036736 51791328 69055104 77686992 103582656 138110208 155373984 207165312 310747968 414330624 621495936 1242991872