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1040263872 = 26323298123
BaseRepresentation
bin111110000000010…
…010101011000000
32200111102212202120
4332000102223000
54112301420442
6251120244240
734531045164
oct7600225300
92614385676
101040263872
1149422470a
12250470680
13137696b6b
149c22cca4
15614d64ec
hex3e012ac0

1040263872 has 112 divisors (see below), whose sum is σ = 2971434240. Its totient is φ = 320201728.

The previous prime is 1040263871. The next prime is 1040263897. The reversal of 1040263872 is 2783620401.

It is not an unprimeable number, because it can be changed into a prime (1040263871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124003 + ... + 132125.

Almost surely, 21040263872 is an apocalyptic number.

1040263872 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 1040263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485717120).

1040263872 is an abundant number, since it is smaller than the sum of its proper divisors (1931170368).

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

1040263872 is a wasteful number, since it uses less digits than its factorization.

1040263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1040263872 is about 32253.1218954073. The cubic root of 1040263872 is about 1013.2450838814.

The spelling of 1040263872 in words is "one billion, forty million, two hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 138 174 184 192 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 1472 1856 2001 2208 2668 2784 4002 4416 5336 5568 8004 8123 10672 16008 16246 21344 24369 32016 32492 42688 48738 64032 64984 97476 128064 129968 186829 194952 235567 259936 373658 389904 471134 519872 560487 706701 747316 779808 942268 1120974 1413402 1494632 1559616 1884536 2241948 2826804 2989264 3769072 4483896 5418041 5653608 5978528 7538144 8967792 10836082 11307216 11957056 15076288 16254123 17935584 21672164 22614432 32508246 35871168 43344328 45228864 65016492 86688656 130032984 173377312 260065968 346754624 520131936 1040263872