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30611136 = 2633137139
BaseRepresentation
bin111010011000…
…1011011000000
32010121012120210
41310301123000
530314024021
63012034120
7521122203
oct164613300
963535523
1030611136
1116308666
12a302940
13645a1ca
1440cb93a
152a49e76
hex1d316c0

30611136 has 112 divisors (see below), whose sum is σ = 86481920. Its totient is φ = 9538560.

The previous prime is 30611131. The next prime is 30611149. The reversal of 30611136 is 63111603.

It is not an unprimeable number, because it can be changed into a prime (30611131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 220155 + ... + 220293.

It is an arithmetic number, because the mean of its divisors is an integer number (772160).

Almost surely, 230611136 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 30611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43240960).

30611136 is an abundant number, since it is smaller than the sum of its proper divisors (55870784).

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

30611136 is a wasteful number, since it uses less digits than its factorization.

30611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 30611136 is about 5532.7331401397. The cubic root of 30611136 is about 312.8190184297.

Adding to 30611136 its reverse (63111603), we get a palindrome (93722739).

The spelling of 30611136 in words is "thirty million, six hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 139 148 186 192 222 248 278 296 372 417 444 496 556 592 744 834 888 992 1112 1147 1184 1488 1668 1776 1984 2224 2294 2368 2976 3336 3441 3552 4309 4448 4588 5143 5952 6672 6882 7104 8618 8896 9176 10286 12927 13344 13764 15429 17236 18352 20572 25854 26688 27528 30858 34472 36704 41144 51708 55056 61716 68944 73408 82288 103416 110112 123432 137888 159433 164576 206832 220224 246864 275776 318866 329152 413664 478299 493728 637732 827328 956598 987456 1275464 1913196 2550928 3826392 5101856 7652784 10203712 15305568 30611136