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1271920896 = 28327432
BaseRepresentation
bin100101111001111…
…1111100100000000
310021122100021110100
41023303333210000
510101102432041
6330113402400
743343102121
oct11363774400
93248307410
101271920896
115a2a69aa4
122b5b69400
1317368641c
14c0cd2048
15769e56b6
hex4bcff900

1271920896 has 81 divisors (see below), whose sum is σ = 3672203899. Its totient is φ = 423403008.

The previous prime is 1271920883. The next prime is 1271920919. The reversal of 1271920896 is 6980291721.

The square root of 1271920896 is 35664.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1711501 + ... + 1712243.

Almost surely, 21271920896 is an apocalyptic number.

1271920896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1271920896 is the 35664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1271920896

1271920896 is an abundant number, since it is smaller than the sum of its proper divisors (2400283003).

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

1271920896 is an frugal number, since it uses more digits than its factorization.

1271920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The cubic root of 1271920896 is about 1083.4778420456.

The spelling of 1271920896 in words is "one billion, two hundred seventy-one million, nine hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 743 768 1152 1486 2229 2304 2972 4458 5944 6687 8916 11888 13374 17832 23776 26748 35664 47552 53496 71328 95104 106992 142656 190208 213984 285312 427968 552049 570624 855936 1104098 1656147 1711872 2208196 3312294 4416392 4968441 6624588 8832784 9936882 13249176 17665568 19873764 26498352 35331136 39747528 52996704 70662272 79495056 105993408 141324544 158990112 211986816 317980224 423973632 635960448 1271920896