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117520632 = 23382239
BaseRepresentation
bin1110000000100…
…11100011111000
322012010200000000
413000103203320
5220041130012
615354513000
72624623515
oct700234370
9265120000
10117520632
1160378a99
1233435760
131b469548
141187230c
15a4b5ddc
hex70138f8

117520632 has 72 divisors (see below), whose sum is σ = 330657600. Its totient is φ = 39156048.

The previous prime is 117520619. The next prime is 117520657. The reversal of 117520632 is 236025711.

It is a happy number.

117520632 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 20 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1175206322 = 27622197891358848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117520596 and 117520605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51369 + ... + 53607.

Almost surely, 2117520632 is an apocalyptic number.

117520632 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 117520632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165328800).

117520632 is an abundant number, since it is smaller than the sum of its proper divisors (213136968).

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

117520632 is an frugal number, since it uses more digits than its factorization.

117520632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 117520632 is about 10840.6933357604. The cubic root of 117520632 is about 489.8217205106.

The spelling of 117520632 in words is "one hundred seventeen million, five hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2239 2916 4374 4478 5832 6561 6717 8748 8956 13122 13434 17496 17912 20151 26244 26868 40302 52488 53736 60453 80604 120906 161208 181359 241812 362718 483624 544077 725436 1088154 1450872 1632231 2176308 3264462 4352616 4896693 6528924 9793386 13057848 14690079 19586772 29380158 39173544 58760316 117520632