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117503144 = 231119312267
BaseRepresentation
bin1110000000011…
…11010010101000
322012002210000022
413000033102220
5220040100034
615354300012
72624521523
oct700172250
9265083008
10117503144
1160366940
1233427608
131b4615b5
1411869bba
15a4b0b2e
hex700f4a8

117503144 has 64 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 48945600.

The previous prime is 117503143. The next prime is 117503147. The reversal of 117503144 is 441305711.

It is not an unprimeable number, because it can be changed into a prime (117503143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50699 + ... + 52965.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2117503144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117503144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

117503144 is an abundant number, since it is smaller than the sum of its proper divisors (143770456).

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

117503144 is a wasteful number, since it uses less digits than its factorization.

117503144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 117503144 is about 10839.8867152752. The cubic root of 117503144 is about 489.7974228560.

Adding to 117503144 its reverse (441305711), we get a palindrome (558808855).

The spelling of 117503144 in words is "one hundred seventeen million, five hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 209 248 341 418 589 682 836 1178 1364 1672 2267 2356 2728 4534 4712 6479 9068 12958 18136 24937 25916 43073 49874 51832 70277 86146 99748 140554 172292 199496 281108 344584 473803 562216 773047 947606 1335263 1546094 1895212 2670526 3092188 3790424 5341052 6184376 10682104 14687893 29375786 58751572 117503144