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117275928 = 233711173733
BaseRepresentation
bin1101111110101…
…11110100011000
322011200020022220
412333113310120
5220010312203
615345344040
72622554220
oct677276430
9264606286
10117275928
1160221160
1233338020
131b3b2053
141180b080
15a468653
hex6fd7d18

117275928 has 128 divisors (see below), whose sum is σ = 387141120. Its totient is φ = 28661760.

The previous prime is 117275927. The next prime is 117275933. The reversal of 117275928 is 829572711.

It is a super-2 number, since 2×1172759282 = 27507286576522368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 117275928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117275927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29550 + ... + 33282.

It is an arithmetic number, because the mean of its divisors is an integer number (3024540).

Almost surely, 2117275928 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 117275928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193570560).

117275928 is an abundant number, since it is smaller than the sum of its proper divisors (269865192).

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

117275928 is a wasteful number, since it uses less digits than its factorization.

117275928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3773 counting only the distinct ones).

The product of its digits is 70560, while the sum is 42.

The square root of 117275928 is about 10829.4010914732. The cubic root of 117275928 is about 489.4815118135.

The spelling of 117275928 in words is "one hundred seventeen million, two hundred seventy-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3733 3927 4488 5236 7466 7854 10472 11199 14932 15708 22398 26131 29864 31416 41063 44796 52262 63461 78393 82126 89592 104524 123189 126922 156786 164252 190383 209048 246378 253844 287441 313572 328504 380766 444227 492756 507688 574882 627144 698071 761532 862323 888454 985512 1149764 1332681 1396142 1523064 1724646 1776908 2094213 2299528 2665362 2792284 3449292 3553816 4188426 4886497 5330724 5584568 6898584 8376852 9772994 10661448 14659491 16753704 19545988 29318982 39091976 58637964 117275928