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117864832 = 273741607
BaseRepresentation
bin1110000011001…
…11100110000000
322012210011011011
413001213212000
5220133133312
615410130304
72630556151
oct701474600
9265704134
10117864832
1160593658
1233580994
131b55a107
1411921928
15a532da7
hex7067980

117864832 has 64 divisors (see below), whose sum is σ = 247443840. Its totient is φ = 55848960.

The previous prime is 117864829. The next prime is 117864833. The reversal of 117864832 is 238468711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117864833) 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 7 ways as a sum of consecutive naturals, for example, 193873 + ... + 194479.

It is an arithmetic number, because the mean of its divisors is an integer number (3866310).

Almost surely, 2117864832 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 117864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123721920).

117864832 is an abundant number, since it is smaller than the sum of its proper divisors (129579008).

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

117864832 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (117864831) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (699).

117864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 117864832 is about 10856.5570969806. The cubic root of 117864832 is about 490.2994587673.

The spelling of 117864832 in words is "one hundred seventeen million, eight hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 296 328 592 607 656 1184 1214 1312 1517 2368 2428 2624 3034 4736 4856 5248 6068 9712 12136 19424 22459 24272 24887 38848 44918 48544 49774 77696 89836 97088 99548 179672 194176 199096 359344 398192 718688 796384 920819 1437376 1592768 1841638 2874752 3185536 3683276 7366552 14733104 29466208 58932416 117864832