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1145830464 = 263217117017
BaseRepresentation
bin100010001001011…
…1111110001000000
32221212002012220100
41010102333301000
54321313033324
6305411042400
740252253412
oct10422776100
92855065810
101145830464
11538878429
1227b8a0400
131535092bc
14ac26c9b2
156a8da4c9
hex444bfc40

1145830464 has 84 divisors (see below), whose sum is σ = 3477540924. Its totient is φ = 359473152.

The previous prime is 1145830459. The next prime is 1145830471. The reversal of 1145830464 is 4640385411.

1145830464 is a `hidden beast` number, since 1 + 14 + 583 + 0 + 4 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 739404864 + 406425600 = 27192^2 + 20160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 48717 + ... + 68300.

Almost surely, 21145830464 is an apocalyptic number.

It is an amenable number.

1145830464 is an abundant number, since it is smaller than the sum of its proper divisors (2331710460).

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

1145830464 is a wasteful number, since it uses less digits than its factorization.

1145830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117052 (or 117039 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1145830464 is about 33850.1176364278. The cubic root of 1145830464 is about 1046.4218229043.

The spelling of 1145830464 in words is "one billion, one hundred forty-five million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 117017 234034 351051 468068 702102 936136 1053153 1404204 1872272 1989289 2106306 2808408 3744544 3978578 4212612 5616816 5967867 7489088 7957156 8425224 11233632 11935734 15914312 16850448 17903601 22467264 23871468 31828624 33700896 35807202 47742936 63657248 67401792 71614404 95485872 127314496 143228808 190971744 286457616 381943488 572915232 1145830464