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30972732 = 2237735051
BaseRepresentation
bin111011000100…
…1101100111100
32011021120121020
41312021230330
530412111412
63023504140
7524156340
oct166115474
964246536
1030972732
11165352aa
12a458050
13655597b
144183620
152abc18c
hex1d89b3c

30972732 has 48 divisors (see below), whose sum is σ = 83741952. Its totient is φ = 8726400.

The previous prime is 30972731. The next prime is 30972757. The reversal of 30972732 is 23727903.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30972693 and 30972702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30972731) 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, 3607 + ... + 8657.

It is an arithmetic number, because the mean of its divisors is an integer number (1744624).

Almost surely, 230972732 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 30972732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41870976).

30972732 is an abundant number, since it is smaller than the sum of its proper divisors (52769220).

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

30972732 is a wasteful number, since it uses less digits than its factorization.

30972732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 30972732 is about 5565.3150854197. The cubic root of 30972732 is about 314.0459315880.

The spelling of 30972732 in words is "thirty million, nine hundred seventy-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 5051 6132 10102 15153 20204 30306 35357 60612 70714 106071 141428 212142 368723 424284 737446 1106169 1474892 2212338 2581061 4424676 5162122 7743183 10324244 15486366 30972732