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117942336 = 2632832467
BaseRepresentation
bin1110000011110…
…10100001000000
322012221002110200
413001322201000
5220143123321
615411525200
72631331131
oct701724100
9265832420
10117942336
1160636906
12335b9800
131b586485
1411941c88
15a54ad26
hex707a840

117942336 has 84 divisors (see below), whose sum is σ = 342272112. Its totient is φ = 38824704.

The previous prime is 117942323. The next prime is 117942337. The reversal of 117942336 is 633249711.

It is a super-2 number, since 2×1179423362 = 27820789242273792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 117942336.

It is not an unprimeable number, because it can be changed into a prime (117942337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46575 + ... + 49041.

It is an arithmetic number, because the mean of its divisors is an integer number (4074668).

Almost surely, 2117942336 is an apocalyptic number.

117942336 is a gapful number since it is divisible by the number (16) 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 117942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171136056).

117942336 is an abundant number, since it is smaller than the sum of its proper divisors (224329776).

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

117942336 is a wasteful number, since it uses less digits than its factorization.

117942336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2555 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 117942336 is about 10860.1259661203. The cubic root of 117942336 is about 490.4069034349.

The spelling of 117942336 in words is "one hundred seventeen million, nine hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2467 2656 2988 3984 4934 5312 5976 7401 7968 9868 11952 14802 15936 19736 22203 23904 29604 39472 44406 47808 59208 78944 88812 118416 157888 177624 204761 236832 355248 409522 473664 614283 710496 819044 1228566 1420992 1638088 1842849 2457132 3276176 3685698 4914264 6552352 7371396 9828528 13104704 14742792 19657056 29485584 39314112 58971168 117942336