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117316752 = 24371013457
BaseRepresentation
bin1101111111000…
…01110010010000
322011202022022220
412333201302100
5220013114002
615350301040
72623114230
oct677416220
9264668286
10117316752
11602498a3
1233357780
131b3c77c7
141181bcc0
15a4757bc
hex6fe1c90

117316752 has 80 divisors (see below), whose sum is σ = 349894272. Its totient is φ = 33177600.

The previous prime is 117316739. The next prime is 117316753. The reversal of 117316752 is 257613711.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (117316753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32208 + ... + 35664.

Almost surely, 2117316752 is an apocalyptic number.

117316752 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 117316752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174947136).

117316752 is an abundant number, since it is smaller than the sum of its proper divisors (232577520).

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

117316752 is a wasteful number, since it uses less digits than its factorization.

117316752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3570 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 117316752 is about 10831.2857962478. The cubic root of 117316752 is about 489.5383017430.

The spelling of 117316752 in words is "one hundred seventeen million, three hundred sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 3457 4242 4848 5656 6914 8484 10371 11312 13828 16968 20742 24199 27656 33936 41484 48398 55312 72597 82968 96796 145194 165936 193592 290388 349157 387184 580776 698314 1047471 1161552 1396628 2094942 2444099 2793256 4189884 4888198 5586512 7332297 8379768 9776396 14664594 16759536 19552792 29329188 39105584 58658376 117316752