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30915072 = 29326709
BaseRepresentation
bin111010111101…
…1101000000000
32011011122111200
41311323220000
530403240242
63022341200
7523526256
oct165735000
964148450
1030915072
11164a5a51
12a42a800
136535656
14416a5d6
152aaa04c
hex1d7ba00

30915072 has 60 divisors (see below), whose sum is σ = 89236290. Its totient is φ = 10303488.

The previous prime is 30915047. The next prime is 30915089. The reversal of 30915072 is 27051903.

It can be written as a sum of positive squares in only one way, i.e., 24443136 + 6471936 = 4944^2 + 2544^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1254 + ... + 7962.

Almost surely, 230915072 is an apocalyptic number.

30915072 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 30915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44618145).

30915072 is an abundant number, since it is smaller than the sum of its proper divisors (58321218).

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

30915072 is an equidigital number, since it uses as much as digits as its factorization.

30915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 30915072 is about 5560.1323725250. The cubic root of 30915072 is about 313.8509306344.

Adding to 30915072 its reverse (27051903), we get a palindrome (57966975).

The spelling of 30915072 in words is "thirty million, nine hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6709 13418 20127 26836 40254 53672 60381 80508 107344 120762 161016 214688 241524 322032 429376 483048 644064 858752 966096 1288128 1717504 1932192 2576256 3435008 3864384 5152512 7728768 10305024 15457536 30915072