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30972816 = 2432730727
BaseRepresentation
bin111011000100…
…1101110010000
32011021120201100
41312021232100
530412112231
63023504400
7524156520
oct166115620
964246640
1030972816
1116535376
12a458100
136555a14
144183680
152abc1e6
hex1d89b90

30972816 has 60 divisors (see below), whose sum is σ = 99067072. Its totient is φ = 8849088.

The previous prime is 30972797. The next prime is 30972847. The reversal of 30972816 is 61827903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14356 + ... + 16371.

Almost surely, 230972816 is an apocalyptic number.

30972816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30972816 is an abundant number, since it is smaller than the sum of its proper divisors (68094256).

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

30972816 is a wasteful number, since it uses less digits than its factorization.

30972816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30748 (or 30739 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30972816 is about 5565.3226321571. The cubic root of 30972816 is about 314.0462154919.

The spelling of 30972816 in words is "thirty million, nine hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 30727 61454 92181 122908 184362 215089 245816 276543 368724 430178 491632 553086 645267 737448 860356 1106172 1290534 1474896 1720712 1935801 2212344 2581068 3441424 3871602 4424688 5162136 7743204 10324272 15486408 30972816