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30131232 = 2532979137
BaseRepresentation
bin111001011110…
…0010000100000
32002200211021120
41302330100200
530203144412
62553452240
7514053105
oct162742040
962624246
1030131232
111601004a
12a111080
13631c941
144004aac
1529a2b8c
hex1cbc420

30131232 has 96 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 9504768.

The previous prime is 30131201. The next prime is 30131243. The reversal of 30131232 is 23213103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×301312322 = 1815782283675648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219868 + ... + 220004.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 230131232 is an apocalyptic number.

30131232 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 30131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

30131232 is an abundant number, since it is smaller than the sum of its proper divisors (53331168).

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

30131232 is a wasteful number, since it uses less digits than its factorization.

30131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 30131232 is about 5489.1922903101. The cubic root of 30131232 is about 311.1756674803.

Adding to 30131232 its reverse (23213103), we get a palindrome (53344335).

The spelling of 30131232 in words is "thirty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 79 87 96 116 137 158 174 232 237 274 316 348 411 464 474 548 632 696 822 928 948 1096 1264 1392 1644 1896 2192 2291 2528 2784 3288 3792 3973 4384 4582 6576 6873 7584 7946 9164 10823 11919 13152 13746 15892 18328 21646 23838 27492 31784 32469 36656 43292 47676 54984 63568 64938 73312 86584 95352 109968 127136 129876 173168 190704 219936 259752 313867 346336 381408 519504 627734 941601 1039008 1255468 1883202 2510936 3766404 5021872 7532808 10043744 15065616 30131232