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117429732 = 223274310837
BaseRepresentation
bin1101111111111…
…01010111100100
322011222001022100
412333331113210
5220030222412
615352532100
72624064510
oct677752744
9264861270
10117429732
1160316772
12333b1030
131b437064
141184b140
15a498edc
hex6ffd5e4

117429732 has 72 divisors (see below), whose sum is σ = 347162816. Its totient is φ = 32768064.

The previous prime is 117429707. The next prime is 117429737. The reversal of 117429732 is 237924711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (117429737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5418 + ... + 16254.

Almost surely, 2117429732 is an apocalyptic number.

117429732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 10836×10837.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117429732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173581408).

117429732 is an abundant number, since it is smaller than the sum of its proper divisors (229733084).

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

117429732 is a wasteful number, since it uses less digits than its factorization.

117429732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897 (or 10892 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 117429732 is about 10836.4999884649. The cubic root of 117429732 is about 489.6953986377.

The spelling of 117429732 in words is "one hundred seventeen million, four hundred twenty-nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 10837 21674 32511 43348 65022 75859 97533 130044 151718 195066 227577 303436 390132 455154 465991 682731 910308 931982 1365462 1397973 1863964 2730924 2795946 3261937 4193919 5591892 6523874 8387838 9785811 13047748 16775676 19571622 29357433 39143244 58714866 117429732