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30986112 = 2731931137
BaseRepresentation
bin111011000110…
…0111110000000
32011022020221210
41312030332000
530413023422
63024050120
7524243343
oct166147600
964266853
1030986112
1116544363
12a463940
13655baa1
14418845a
152ac110c
hex1d8cf80

30986112 has 128 divisors (see below), whose sum is σ = 90086400. Its totient is φ = 9400320.

The previous prime is 30986107. The next prime is 30986117. The reversal of 30986112 is 21168903.

It is an interprime number because it is at equal distance from previous prime (30986107) and next prime (30986117).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30986112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30986117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226108 + ... + 226244.

It is an arithmetic number, because the mean of its divisors is an integer number (703800).

Almost surely, 230986112 is an apocalyptic number.

30986112 is a gapful number since it is divisible by the number (32) 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 30986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45043200).

30986112 is an abundant number, since it is smaller than the sum of its proper divisors (59100288).

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

30986112 is a wasteful number, since it uses less digits than its factorization.

30986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 30986112 is about 5566.5170438974. The cubic root of 30986112 is about 314.0911469476.

The spelling of 30986112 in words is "thirty million, nine hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 137 152 186 192 228 248 274 304 372 384 411 456 496 548 589 608 744 822 912 992 1096 1178 1216 1488 1644 1767 1824 1984 2192 2356 2432 2603 2976 3288 3534 3648 3968 4247 4384 4712 5206 5952 6576 7068 7296 7809 8494 8768 9424 10412 11904 12741 13152 14136 15618 16988 17536 18848 20824 25482 26304 28272 31236 33976 37696 41648 50964 52608 56544 62472 67952 75392 80693 83296 101928 113088 124944 135904 161386 166592 203856 226176 242079 249888 271808 322772 333184 407712 484158 499776 543616 645544 815424 968316 999552 1291088 1630848 1936632 2582176 3873264 5164352 7746528 10328704 15493056 30986112