Search a number
-
+
117332352 = 2732179569
BaseRepresentation
bin1101111111001…
…01100110000000
322011210002201200
412333211212000
5220014113402
615350501200
72623210554
oct677454600
9264702650
10117332352
116025a595
1233364800
131b401937
1411823864
15a47a21c
hex6fe5980

117332352 has 96 divisors (see below), whose sum is σ = 340119000. Its totient is φ = 38823936.

The previous prime is 117332339. The next prime is 117332381. The reversal of 117332352 is 253233711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205924 + ... + 206492.

Almost surely, 2117332352 is an apocalyptic number.

117332352 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 117332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170059500).

117332352 is an abundant number, since it is smaller than the sum of its proper divisors (222786648).

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

117332352 is a wasteful number, since it uses less digits than its factorization.

117332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 753 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 117332352 is about 10832.0059084179. The cubic root of 117332352 is about 489.5599992951.

The spelling of 117332352 in words is "one hundred seventeen million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 288 358 384 537 569 576 716 1074 1138 1152 1432 1611 1707 2148 2276 2864 3222 3414 4296 4552 5121 5728 6444 6828 8592 9104 10242 11456 12888 13656 17184 18208 20484 22912 25776 27312 34368 36416 40968 51552 54624 68736 72832 81936 101851 103104 109248 163872 203702 206208 218496 305553 327744 407404 611106 655488 814808 916659 1222212 1629616 1833318 2444424 3259232 3666636 4888848 6518464 7333272 9777696 13036928 14666544 19555392 29333088 39110784 58666176 117332352