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30113964 = 2233535261
BaseRepresentation
bin111001011100…
…0000010101100
32002122221121000
41302320002230
530202121324
62553240300
7513651546
oct162700254
962587530
1030113964
1115aa9081
12a103090
136314b1a
143ddc696
15299c9c9
hex1cb80ac

30113964 has 48 divisors (see below), whose sum is σ = 79561440. Its totient is φ = 9846720.

The previous prime is 30113957. The next prime is 30114001. The reversal of 30113964 is 46931103.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 3094 + ... + 8354.

It is an arithmetic number, because the mean of its divisors is an integer number (1657530).

Almost surely, 230113964 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 30113964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780720).

30113964 is an abundant number, since it is smaller than the sum of its proper divisors (49447476).

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

30113964 is a wasteful number, since it uses less digits than its factorization.

30113964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30113964 is about 5487.6191558817. The cubic root of 30113964 is about 311.1162119156.

The spelling of 30113964 in words is "thirty million, one hundred thirteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5261 5724 10522 15783 21044 31566 47349 63132 94698 142047 189396 278833 284094 557666 568188 836499 1115332 1672998 2509497 3345996 5018994 7528491 10037988 15056982 30113964