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1146107904 = 21131710973
BaseRepresentation
bin100010001010000…
…0011100000000000
32221212121022110220
41010110003200000
54321400423104
6305421023040
740254520314
oct10424034000
92855538426
101146107904
11538a47917
1227b9b4a80
131535a5676
14ac301b44
156a9427d9
hex44503800

1146107904 has 96 divisors (see below), whose sum is σ = 3235574160. Its totient is φ = 359530496.

The previous prime is 1146107861. The next prime is 1146107951. The reversal of 1146107904 is 4097016411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11461079042 = 2627126655222546432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98962 + ... + 109934.

Almost surely, 21146107904 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 1146107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617787080).

1146107904 is an abundant number, since it is smaller than the sum of its proper divisors (2089466256).

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

1146107904 is a wasteful number, since it uses less digits than its factorization.

1146107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1146107904 is about 33854.2154539136. The cubic root of 1146107904 is about 1046.5062728153.

The spelling of 1146107904 in words is "one billion, one hundred forty-six million, one hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6528 8704 10973 13056 17408 21946 26112 32919 34816 43892 52224 65838 87784 104448 131676 175568 186541 263352 351136 373082 526704 559623 702272 746164 1053408 1119246 1404544 1492328 2106816 2238492 2809088 2984656 4213632 4476984 5618176 5969312 8427264 8953968 11236352 11938624 16854528 17907936 22472704 23877248 33709056 35815872 47754496 67418112 71631744 95508992 143263488 191017984 286526976 382035968 573053952 1146107904