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30537696 = 2537291567
BaseRepresentation
bin111010001111…
…1011111100000
32010110110211210
41310133133200
530304201241
63010310120
7520365120
oct164373740
963413753
1030537696
1116268472
12a288340
136432957
1440acc80
152a33316
hex1d1f7e0

30537696 has 96 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 8418816.

The previous prime is 30537671. The next prime is 30537707. The reversal of 30537696 is 69673503.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18705 + ... + 20271.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 230537696 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 30537696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

30537696 is an abundant number, since it is smaller than the sum of its proper divisors (64294944).

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

30537696 is a wasteful number, since it uses less digits than its factorization.

30537696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 30537696 is about 5526.0922902174. The cubic root of 30537696 is about 312.5686539295.

The spelling of 30537696 in words is "thirty million, five hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1567 1624 2436 2784 3134 3248 4701 4872 6268 6496 9402 9744 10969 12536 18804 19488 21938 25072 32907 37608 43876 45443 50144 65814 75216 87752 90886 131628 136329 150432 175504 181772 263256 272658 318101 351008 363544 526512 545316 636202 727088 954303 1053024 1090632 1272404 1454176 1908606 2181264 2544808 3817212 4362528 5089616 7634424 10179232 15268848 30537696