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30996576 = 25321317487
BaseRepresentation
bin111011000111…
…1100001100000
32011022210022100
41312033201200
530413342301
63024210400
7524316012
oct166174140
964283270
1030996576
1116551206
12a469a00
136563790
14418c1b2
152ac4286
hex1d8f860

30996576 has 144 divisors (see below), whose sum is σ = 100717344. Its totient is φ = 8957952.

The previous prime is 30996551. The next prime is 30996587. The reversal of 30996576 is 67569903.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63405 + ... + 63891.

It is an arithmetic number, because the mean of its divisors is an integer number (699426).

Almost surely, 230996576 is an apocalyptic number.

30996576 is a gapful number since it is divisible by the number (36) 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 30996576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50358672).

30996576 is an abundant number, since it is smaller than the sum of its proper divisors (69720768).

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

30996576 is a wasteful number, since it uses less digits than its factorization.

30996576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 30996576 is about 5567.4568700619. The cubic root of 30996576 is about 314.1264991280.

The spelling of 30996576 in words is "thirty million, nine hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 487 544 612 624 663 816 884 936 974 1224 1248 1326 1461 1632 1768 1872 1948 1989 2448 2652 2922 3536 3744 3896 3978 4383 4896 5304 5844 6331 7072 7792 7956 8279 8766 10608 11688 12662 15584 15912 16558 17532 18993 21216 23376 24837 25324 31824 33116 35064 37986 46752 49674 50648 56979 63648 66232 70128 74511 75972 99348 101296 107627 113958 132464 140256 149022 151944 198696 202592 215254 227916 264928 298044 303888 322881 397392 430508 455832 596088 607776 645762 794784 861016 911664 968643 1192176 1291524 1722032 1823328 1937286 2384352 2583048 3444064 3874572 5166096 7749144 10332192 15498288 30996576