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117552336 = 24311251887
BaseRepresentation
bin1110000000110…
…11010011010000
322012012021111020
413000123103100
5220043133321
615355315440
72625115116
oct700332320
9265167436
10117552336
116039a8a0
123344bb80
131b47aac5
141187dab6
15a4c04c6
hex701b4d0

117552336 has 80 divisors (see below), whose sum is σ = 332978688. Its totient is φ = 35440000.

The previous prime is 117552317. The next prime is 117552361. The reversal of 117552336 is 633255711.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 117552297 and 117552306.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 132085 + ... + 132971.

Almost surely, 2117552336 is an apocalyptic number.

117552336 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 117552336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166489344).

117552336 is an abundant number, since it is smaller than the sum of its proper divisors (215426352).

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

117552336 is a wasteful number, since it uses less digits than its factorization.

117552336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 117552336 is about 10842.1555052489. The cubic root of 117552336 is about 489.8657635900.

The spelling of 117552336 in words is "one hundred seventeen million, five hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 251 264 502 528 753 887 1004 1506 1774 2008 2661 2761 3012 3548 4016 5322 5522 6024 7096 8283 9757 10644 11044 12048 14192 16566 19514 21288 22088 29271 33132 39028 42576 44176 58542 66264 78056 117084 132528 156112 222637 234168 445274 468336 667911 890548 1335822 1781096 2449007 2671644 3562192 4898014 5343288 7347021 9796028 10686576 14694042 19592056 29388084 39184112 58776168 117552336