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1152940008 = 2331129413673
BaseRepresentation
bin100010010111000…
…0111011111101000
32222100110102100210
41010232013133220
54330123040013
6310223301120
740366554063
oct10456073750
92870412323
101152940008
11541893990
1228214a7a0
13154b2832c
14ad19d8da
156b341cc3
hex44b877e8

1152940008 has 128 divisors (see below), whose sum is σ = 3333052800. Its totient is φ = 329011200.

The previous prime is 1152940001. The next prime is 1152940031. The reversal of 1152940008 is 8000492511.

It is a happy number.

1152940008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1152940001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312060 + ... + 315732.

It is an arithmetic number, because the mean of its divisors is an integer number (26039475).

Almost surely, 21152940008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152940008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666526400).

1152940008 is an abundant number, since it is smaller than the sum of its proper divisors (2180112792).

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

1152940008 is a wasteful number, since it uses less digits than its factorization.

1152940008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1152940008 is about 33954.9702989121. The cubic root of 1152940008 is about 1048.5816095493.

The spelling of 1152940008 in words is "one billion, one hundred fifty-two million, nine hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 41 44 58 66 82 87 88 116 123 132 164 174 232 246 264 319 328 348 451 492 638 696 902 957 984 1189 1276 1353 1804 1914 2378 2552 2706 3567 3608 3673 3828 4756 5412 7134 7346 7656 9512 10824 11019 13079 14268 14692 22038 26158 28536 29384 39237 40403 44076 52316 78474 80806 88152 104632 106517 121209 150593 156948 161612 213034 242418 301186 313896 319551 323224 426068 451779 484836 602372 639102 852136 903558 969672 1171687 1204744 1278204 1656523 1807116 2343374 2556408 3313046 3515061 3614232 4367197 4686748 4969569 6626092 7030122 8734394 9373496 9939138 13101591 13252184 14060244 17468788 19878276 26203182 28120488 34937576 39756552 48039167 52406364 96078334 104812728 144117501 192156668 288235002 384313336 576470004 1152940008