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30993664 = 281367139
BaseRepresentation
bin111011000111…
…0110100000000
32011022122022111
41312032310000
530413244124
63024145104
7524304352
oct166166400
964278274
1030993664
1116549aa9
12a468194
136562360
14418b0d2
152ac3494
hex1d8ed00

30993664 has 72 divisors (see below), whose sum is σ = 68106080. Its totient is φ = 13989888.

The previous prime is 30993661. The next prime is 30993667. The reversal of 30993664 is 46639903.

It is an interprime number because it is at equal distance from previous prime (30993661) and next prime (30993667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30993661) 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 7 ways as a sum of consecutive naturals, for example, 222907 + ... + 223045.

Almost surely, 230993664 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 30993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34053040).

30993664 is an abundant number, since it is smaller than the sum of its proper divisors (37112416).

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

30993664 is a wasteful number, since it uses less digits than its factorization.

30993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The square root of 30993664 is about 5567.1953441567. The cubic root of 30993664 is about 314.1166618585.

The spelling of 30993664 in words is "thirty million, nine hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 139 208 256 268 278 416 536 556 832 871 1072 1112 1664 1742 1807 2144 2224 3328 3484 3614 4288 4448 6968 7228 8576 8896 9313 13936 14456 17152 17792 18626 27872 28912 35584 37252 55744 57824 74504 111488 115648 121069 149008 222976 231296 242138 298016 462592 484276 596032 968552 1192064 1937104 2384128 3874208 7748416 15496832 30993664