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207993312 = 2533240733
BaseRepresentation
bin11000110010110…
…11100111100000
3112111101011012000
430121123213200
5411221241222
632350004000
75103625332
oct1431334740
9474334160
10207993312
11a74524aa
12597a6600
1334125687
141d8a3452
15133d79ac
hexc65b9e0

207993312 has 48 divisors (see below), whose sum is σ = 606649680. Its totient is φ = 69330816.

The previous prime is 207993281. The next prime is 207993329. The reversal of 207993312 is 213399702.

207993312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2079933122 = 86522435673458688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119503 + ... + 121230.

It is an arithmetic number, because the mean of its divisors is an integer number (12638535).

Almost surely, 2207993312 is an apocalyptic number.

It is an amenable number.

207993312 is an abundant number, since it is smaller than the sum of its proper divisors (398656368).

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

207993312 is a wasteful number, since it uses less digits than its factorization.

207993312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240752 (or 240738 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 207993312 is about 14421.9732353101. The cubic root of 207993312 is about 592.4928632372.

The spelling of 207993312 in words is "two hundred seven million, nine hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 240733 481466 722199 962932 1444398 1925864 2166597 2888796 3851728 4333194 5777592 6499791 7703456 8666388 11555184 12999582 17332776 23110368 25999164 34665552 51998328 69331104 103996656 207993312