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117285432 = 23311617283
BaseRepresentation
bin1101111110110…
…10001000111000
322011200201100220
412333122020320
5220011113212
615345500040
72622624015
oct677321070
9264621326
10117285432
1160228310
1233341620
131b3b6484
141181070c
15a46b38c
hex6fda238

117285432 has 64 divisors (see below), whose sum is σ = 325157760. Its totient is φ = 34953600.

The previous prime is 117285409. The next prime is 117285457. The reversal of 117285432 is 234582711.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 117285393 and 117285402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12463 + ... + 19745.

It is an arithmetic number, because the mean of its divisors is an integer number (5080590).

Almost surely, 2117285432 is an apocalyptic number.

117285432 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 117285432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162578880).

117285432 is an abundant number, since it is smaller than the sum of its proper divisors (207872328).

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

117285432 is a wasteful number, since it uses less digits than its factorization.

117285432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7360 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 117285432 is about 10829.8398880131. The cubic root of 117285432 is about 489.4947339263.

The spelling of 117285432 in words is "one hundred seventeen million, two hundred eighty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 7283 8052 14566 16104 21849 29132 43698 58264 80113 87396 160226 174792 240339 320452 444263 480678 640904 888526 961356 1332789 1777052 1922712 2665578 3554104 4886893 5331156 9773786 10662312 14660679 19547572 29321358 39095144 58642716 117285432