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117962112 = 2732771109
BaseRepresentation
bin1110000011111…
…11010110000000
322012222002121010
413001333112000
5220144241422
615412200520
72631442602
oct701772600
9265862533
10117962112
116064a754
1233609140
131b592488
1411949172
15a551b0c
hex707f580

117962112 has 64 divisors (see below), whose sum is σ = 314751600. Its totient is φ = 39143424.

The previous prime is 117962071. The next prime is 117962123. The reversal of 117962112 is 211269711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 117962112.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 105814 + ... + 106922.

Almost surely, 2117962112 is an apocalyptic number.

117962112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117962112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157375800).

117962112 is an abundant number, since it is smaller than the sum of its proper divisors (196789488).

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

117962112 is a wasteful number, since it uses less digits than its factorization.

117962112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its digits is 1512, while the sum is 30.

The square root of 117962112 is about 10861.0364146337. The cubic root of 117962112 is about 490.4343115883.

The spelling of 117962112 in words is "one hundred seventeen million, nine hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 384 554 831 1108 1109 1662 2216 2218 3324 3327 4432 4436 6648 6654 8864 8872 13296 13308 17728 17744 26592 26616 35456 35488 53184 53232 70976 106368 106464 141952 212928 307193 425856 614386 921579 1228772 1843158 2457544 3686316 4915088 7372632 9830176 14745264 19660352 29490528 39320704 58981056 117962112