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117432072 = 23331075081
BaseRepresentation
bin1101111111111…
…01111100001000
322011222011112000
412333331330020
5220030311242
615352551000
72624104362
oct677757410
9264864460
10117432072
11603184aa
12333b2460
131b438144
141184bd32
15a499a4c
hex6ffdf08

117432072 has 64 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 38770560.

The previous prime is 117432071. The next prime is 117432101. The reversal of 117432072 is 270234711.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (117432071) 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, 20572 + ... + 25652.

It is an arithmetic number, because the mean of its divisors is an integer number (5145525).

Almost surely, 2117432072 is an apocalyptic number.

117432072 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 117432072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

117432072 is an abundant number, since it is smaller than the sum of its proper divisors (211881528).

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

117432072 is a wasteful number, since it uses less digits than its factorization.

117432072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 117432072 is about 10836.6079563672. The cubic root of 117432072 is about 489.6986513052.

Adding to 117432072 its reverse (270234711), we get a palindrome (387666783).

The spelling of 117432072 in words is "one hundred seventeen million, four hundred thirty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3852 5081 5778 7704 10162 11556 15243 20324 23112 30486 40648 45729 60972 91458 121944 137187 182916 274374 365832 543667 548748 1087334 1097496 1631001 2174668 3262002 4349336 4893003 6524004 9786006 13048008 14679009 19572012 29358018 39144024 58716036 117432072