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8930929120 = 255592693517
BaseRepresentation
bin10000101000101001…
…10010100111100000
3212001102010012120121
420110110302213200
5121242304212440
64034112450024
7434213434141
oct102424624740
925042105517
108930929120
113873305263
121892b49914
13ac4378659
1460a195ac8
153740d634a
hex2145329e0

8930929120 has 96 divisors (see below), whose sum is σ = 21542824800. Its totient is φ = 3497773056.

The previous prime is 8930929109. The next prime is 8930929169. The reversal of 8930929120 is 219290398.

It is a super-2 number, since 2×89309291202 (a number of 21 digits) contains 22 as substring.

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, 2537602 + ... + 2541118.

It is an arithmetic number, because the mean of its divisors is an integer number (224404425).

Almost surely, 28930929120 is an apocalyptic number.

8930929120 is a gapful number since it is divisible by the number (80) 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 8930929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771412400).

8930929120 is an abundant number, since it is smaller than the sum of its proper divisors (12611895680).

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

8930929120 is a wasteful number, since it uses less digits than its factorization.

8930929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 8930929120 is about 94503.5931592022. The cubic root of 8930929120 is about 2074.7489216695.

The spelling of 8930929120 in words is "eight billion, nine hundred thirty million, nine hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 269 295 472 538 590 944 1076 1180 1345 1888 2152 2360 2690 3517 4304 4720 5380 7034 8608 9440 10760 14068 15871 17585 21520 28136 31742 35170 43040 56272 63484 70340 79355 112544 126968 140680 158710 207503 253936 281360 317420 415006 507872 562720 634840 830012 946073 1037515 1269680 1660024 1892146 2075030 2539360 3320048 3784292 4150060 4730365 6640096 7568584 8300120 9460730 15137168 16600240 18921460 30274336 33200480 37842920 55818307 75685840 111636614 151371680 223273228 279091535 446546456 558183070 893092912 1116366140 1786185824 2232732280 4465464560 8930929120