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30642612 = 223711132551
BaseRepresentation
bin111010011100…
…1000110110100
32010122210202120
41310321012310
530321030422
63012435540
7521313030
oct164710664
963583676
1030642612
111632a280
12a318bb0
13646b630
1440d91c0
152a5445c
hex1d391b4

30642612 has 96 divisors (see below), whose sum is σ = 96036864. Its totient is φ = 7344000.

The previous prime is 30642593. The next prime is 30642613. The reversal of 30642612 is 21624603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30642613) 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 31 ways as a sum of consecutive naturals, for example, 10737 + ... + 13287.

It is an arithmetic number, because the mean of its divisors is an integer number (1000384).

Almost surely, 230642612 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 30642612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48018432).

30642612 is an abundant number, since it is smaller than the sum of its proper divisors (65394252).

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

30642612 is a wasteful number, since it uses less digits than its factorization.

30642612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30642612 is about 5535.5769347016. The cubic root of 30642612 is about 312.9262007584.

Subtracting from 30642612 its reverse (21624603), we obtain a square (9018009 = 30032).

The spelling of 30642612 in words is "thirty million, six hundred forty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 2551 3003 4004 5102 6006 7653 10204 12012 15306 17857 28061 30612 33163 35714 53571 56122 66326 71428 84183 99489 107142 112244 132652 168366 196427 198978 214284 232141 336732 364793 392854 397956 464282 589281 696423 729586 785708 928564 1094379 1178562 1392846 1459172 2188758 2357124 2553551 2785692 4377516 5107102 7660653 10214204 15321306 30642612