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117015552 = 2103212697
BaseRepresentation
bin1101111100110…
…00010000000000
322011012000011100
412332120100000
5214423444202
615340014400
72620421133
oct676302000
9264160140
10117015552
1160063575
1233231400
131b320694
141178021a
15a41641c
hex6f98400

117015552 has 66 divisors (see below), whose sum is σ = 337906478. Its totient is φ = 39002112.

The previous prime is 117015541. The next prime is 117015553. The reversal of 117015552 is 255510711.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 32080896 = 9216^2 + 5664^2 .

It is not an unprimeable number, because it can be changed into a prime (117015553) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2868 + ... + 15564.

Almost surely, 2117015552 is an apocalyptic number.

117015552 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 117015552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168953239).

117015552 is an abundant number, since it is smaller than the sum of its proper divisors (220890926).

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

117015552 is a wasteful number, since it uses less digits than its factorization.

117015552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 117015552 is about 10817.3726939585. The cubic root of 117015552 is about 489.1189944645.

The spelling of 117015552 in words is "one hundred seventeen million, fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 12697 25394 38091 50788 76182 101576 114273 152364 203152 228546 304728 406304 457092 609456 812608 914184 1218912 1625216 1828368 2437824 3250432 3656736 4875648 6500864 7313472 9751296 13001728 14626944 19502592 29253888 39005184 58507776 117015552