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30992544 = 2534111087
BaseRepresentation
bin111011000111…
…0100010100000
32011022120210000
41312032202200
530413230134
63024140000
7524301162
oct166164240
964276700
1030992544
1116549180
12a467600
1365619ab
14418a932
152ac2e99
hex1d8e8a0

30992544 has 120 divisors (see below), whose sum is σ = 99525888. Its totient is φ = 9383040.

The previous prime is 30992509. The next prime is 30992573. The reversal of 30992544 is 44529903.

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

It is a junction number, because it is equal to n+sod(n) for n = 30992499 and 30992508.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 27969 + ... + 29055.

Almost surely, 230992544 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 30992544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762944).

30992544 is an abundant number, since it is smaller than the sum of its proper divisors (68533344).

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

30992544 is a wasteful number, since it uses less digits than its factorization.

30992544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 30992544 is about 5567.0947539987. The cubic root of 30992544 is about 314.1128781293.

The spelling of 30992544 in words is "thirty million, nine hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1087 1188 1296 1584 1782 2174 2376 2592 3168 3261 3564 4348 4752 6522 7128 8696 9504 9783 11957 13044 14256 17392 19566 23914 26088 28512 29349 34784 35871 39132 47828 52176 58698 71742 78264 88047 95656 104352 107613 117396 143484 156528 176094 191312 215226 234792 286968 313056 322839 352188 382624 430452 469584 573936 645678 704376 860904 939168 968517 1147872 1291356 1408752 1721808 1937034 2582712 2817504 3443616 3874068 5165424 7748136 10330848 15496272 30992544