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1243264896 = 27331632207
BaseRepresentation
bin100101000011010…
…1011011110000000
310012122102101211000
41022012223132000
510021233434041
6323211252000
742544401666
oct11206533600
93178371730
101243264896
11588877355
122a844a000
1316a762103
14bb192c36
1574234bb6
hex4a1ab780

1243264896 has 128 divisors (see below), whose sum is σ = 3693542400. Its totient is φ = 411692544.

The previous prime is 1243264879. The next prime is 1243264901. The reversal of 1243264896 is 6984623421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 562225 + ... + 564431.

It is an arithmetic number, because the mean of its divisors is an integer number (28855800).

Almost surely, 21243264896 is an apocalyptic number.

1243264896 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 1243264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846771200).

1243264896 is an abundant number, since it is smaller than the sum of its proper divisors (2450277504).

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

1243264896 is a wasteful number, since it uses less digits than its factorization.

1243264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2375 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1243264896 is about 35259.9616562469. The cubic root of 1243264896 is about 1075.2791475538.

The spelling of 1243264896 in words is "one billion, two hundred forty-three million, two hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 288 326 384 432 489 576 652 864 978 1152 1304 1467 1728 1956 2207 2608 2934 3456 3912 4401 4414 5216 5868 6621 7824 8802 8828 10432 11736 13242 15648 17604 17656 19863 20864 23472 26484 31296 35208 35312 39726 46944 52968 59589 62592 70416 70624 79452 93888 105936 119178 140832 141248 158904 187776 211872 238356 281664 282496 317808 359741 423744 476712 563328 635616 719482 847488 953424 1079223 1271232 1438964 1906848 2158446 2542464 2877928 3237669 3813696 4316892 5755856 6475338 7627392 8633784 9713007 11511712 12950676 17267568 19426014 23023424 25901352 34535136 38852028 46046848 51802704 69070272 77704056 103605408 138140544 155408112 207210816 310816224 414421632 621632448 1243264896