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30113856 = 263437157
BaseRepresentation
bin111001011100…
…0000001000000
32002122221110000
41302320001000
530202120411
62553240000
7513651333
oct162700100
962587400
1030113856
1115aa8a93
12a103000
136314a66
143ddc61a
15299c956
hex1cb8040

30113856 has 140 divisors (see below), whose sum is σ = 92263468. Its totient is φ = 9704448.

The previous prime is 30113849. The next prime is 30113873. The reversal of 30113856 is 65831103.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 11451456 = 4320^2 + 3384^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191730 + ... + 191886.

Almost surely, 230113856 is an apocalyptic number.

30113856 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 30113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46131734).

30113856 is an abundant number, since it is smaller than the sum of its proper divisors (62149612).

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

30113856 is a wasteful number, since it uses less digits than its factorization.

30113856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 30113856 is about 5487.6093155399. The cubic root of 30113856 is about 311.1158399886.

Adding to 30113856 its reverse (65831103), we get a palindrome (95944959).

The spelling of 30113856 in words is "thirty million, one hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 157 162 192 216 222 288 296 314 324 333 432 444 471 576 592 628 648 666 864 888 942 999 1184 1256 1296 1332 1413 1728 1776 1884 1998 2368 2512 2592 2664 2826 2997 3552 3768 3996 4239 5024 5184 5328 5652 5809 5994 7104 7536 7992 8478 10048 10656 11304 11618 11988 12717 15072 15984 16956 17427 21312 22608 23236 23976 25434 30144 31968 33912 34854 45216 46472 47952 50868 52281 63936 67824 69708 90432 92944 95904 101736 104562 135648 139416 156843 185888 191808 203472 209124 271296 278832 313686 371776 406944 418248 470529 557664 627372 813888 836496 941058 1115328 1254744 1672992 1882116 2509488 3345984 3764232 5018976 7528464 10037952 15056928 30113856