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117814632 = 23313231937
BaseRepresentation
bin1110000010110…
…11010101101000
322012200121021220
413001123111220
5220130032012
615405102040
72630256615
oct701332550
9265617256
10117814632
1160559971
1233557920
131b540300
141190b50c
15a52308c
hex705b568

117814632 has 96 divisors (see below), whose sum is σ = 329575680. Its totient is φ = 35043840.

The previous prime is 117814603. The next prime is 117814633. The reversal of 117814632 is 236418711.

It is a junction number, because it is equal to n+sod(n) for n = 117814593 and 117814602.

It is not an unprimeable number, because it can be changed into a prime (117814633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125268 + ... + 126204.

It is an arithmetic number, because the mean of its divisors is an integer number (3433080).

Almost surely, 2117814632 is an apocalyptic number.

117814632 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 117814632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164787840).

117814632 is an abundant number, since it is smaller than the sum of its proper divisors (211761048).

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

117814632 is a wasteful number, since it uses less digits than its factorization.

117814632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 986 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 117814632 is about 10854.2448839152. The cubic root of 117814632 is about 490.2298408059.

The spelling of 117814632 in words is "one hundred seventeen million, eight hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 676 744 806 937 1014 1209 1352 1612 1874 2028 2418 2811 3224 3748 4056 4836 5239 5622 7496 9672 10478 11244 12181 15717 20956 22488 24362 29047 31434 36543 41912 48724 58094 62868 73086 87141 97448 116188 125736 146172 158353 174282 232376 292344 316706 348564 377611 475059 633412 697128 755222 950118 1132833 1266824 1510444 1900236 2265666 3020888 3800472 4531332 4908943 9062664 9817886 14726829 19635772 29453658 39271544 58907316 117814632