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30119232 = 26311131097
BaseRepresentation
bin111001011100…
…1010101000000
32002200012211010
41302321111000
530202303412
62553320520
7514003113
oct162712500
962605733
1030119232
1116002030
12a106140
136317340
14400057a
15299e33c
hex1cb9540

30119232 has 112 divisors (see below), whose sum is σ = 93707712. Its totient is φ = 8417280.

The previous prime is 30119231. The next prime is 30119233. The reversal of 30119232 is 23291103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30119231) and next prime (30119233).

It is a junction number, because it is equal to n+sod(n) for n = 30119199 and 30119208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30119231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26908 + ... + 28004.

It is an arithmetic number, because the mean of its divisors is an integer number (836676).

Almost surely, 230119232 is an apocalyptic number.

30119232 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 30119232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46853856).

30119232 is an abundant number, since it is smaller than the sum of its proper divisors (63588480).

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

30119232 is a wasteful number, since it uses less digits than its factorization.

30119232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 30119232 is about 5488.0991244692. The cubic root of 30119232 is about 311.1343526099.

The spelling of 30119232 in words is "thirty million, one hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1097 1144 1248 1716 2112 2194 2288 2496 3291 3432 4388 4576 6582 6864 8776 9152 12067 13164 13728 14261 17552 24134 26328 27456 28522 35104 36201 42783 48268 52656 57044 70208 72402 85566 96536 105312 114088 144804 156871 171132 193072 210624 228176 289608 313742 342264 386144 456352 470613 579216 627484 684528 772288 912704 941226 1158432 1254968 1369056 1882452 2316864 2509936 2738112 3764904 5019872 7529808 10039744 15059616 30119232