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30137664 = 263156967
BaseRepresentation
bin111001011110…
…1110101000000
32002201011002210
41302331311000
530203401124
62553542120
7514110624
oct162756500
962634083
1030137664
1116014967
12a114940
13632284b
144007184
1529a4a29
hex1cbdd40

30137664 has 28 divisors (see below), whose sum is σ = 79739744. Its totient is φ = 10045824.

The previous prime is 30137663. The next prime is 30137759. The reversal of 30137664 is 46673103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30137663) 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 3 ways as a sum of consecutive naturals, for example, 78292 + ... + 78675.

It is an arithmetic number, because the mean of its divisors is an integer number (2847848).

Almost surely, 230137664 is an apocalyptic number.

It is an amenable number.

30137664 is an abundant number, since it is smaller than the sum of its proper divisors (49602080).

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

30137664 is a wasteful number, since it uses less digits than its factorization.

30137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156982 (or 156972 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 30137664 is about 5489.7781375935. The cubic root of 30137664 is about 311.1978077354.

The spelling of 30137664 in words is "thirty million, one hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 156967 313934 470901 627868 941802 1255736 1883604 2511472 3767208 5022944 7534416 10045888 15068832 30137664