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30720972 = 22317413673
BaseRepresentation
bin111010100110…
…0001111001100
32010210210020210
41311030033030
530331032342
63014242420
7522060342
oct165141714
963723223
1030720972
1116383137
12a356410
1364981b9
144119992
152a6c79c
hex1d4c3cc

30720972 has 48 divisors (see below), whose sum is σ = 77771232. Its totient is φ = 9400320.

The previous prime is 30720961. The next prime is 30720979. The reversal of 30720972 is 27902703.

It is not an unprimeable number, because it can be changed into a prime (30720979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6528 + ... + 10200.

It is an arithmetic number, because the mean of its divisors is an integer number (1620234).

Almost surely, 230720972 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 30720972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38885616).

30720972 is an abundant number, since it is smaller than the sum of its proper divisors (47050260).

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

30720972 is a wasteful number, since it uses less digits than its factorization.

30720972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 30720972 is about 5542.6502685989. The cubic root of 30720972 is about 313.1927144282.

The spelling of 30720972 in words is "thirty million, seven hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 3673 4182 7346 8364 11019 14692 22038 44076 62441 124882 150593 187323 249764 301186 374646 451779 602372 749292 903558 1807116 2560081 5120162 7680243 10240324 15360486 30720972