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30936272 = 2429611093
BaseRepresentation
bin111011000000…
…0110011010000
32011012201120212
41312000303100
530404430042
63023023252
7523645133
oct166006320
964181525
1030936272
111650a974
12a43ab28
1365421b3
14417421a
152ab1482
hex1d80cd0

30936272 has 40 divisors (see below), whose sum is σ = 63080040. Its totient is φ = 14676480.

The previous prime is 30936239. The next prime is 30936281. The reversal of 30936272 is 27263903.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5494336 + 25441936 = 2344^2 + 5044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27758 + ... + 28850.

It is an arithmetic number, because the mean of its divisors is an integer number (1577001).

Almost surely, 230936272 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 30936272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540020).

30936272 is an abundant number, since it is smaller than the sum of its proper divisors (32143768).

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

30936272 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (30936271) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1185).

30936272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 30936272 is about 5562.0384752355. The cubic root of 30936272 is about 313.9226552978.

The spelling of 30936272 in words is "thirty million, nine hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 464 488 976 1093 1769 2186 3538 4372 7076 8744 14152 17488 28304 31697 63394 66673 126788 133346 253576 266692 507152 533384 1066768 1933517 3867034 7734068 15468136 30936272