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117352026 = 232112373353
BaseRepresentation
bin1101111111010…
…10011001011010
322011211002201100
412333222121122
5220020231101
615351132230
72623322121
oct677523132
9264732640
10117352026
1160273350
1233374076
131b40a88c
141182aab8
15a480e86
hex6fea65a

117352026 has 96 divisors (see below), whose sum is σ = 294233472. Its totient is φ = 33454080.

The previous prime is 117352021. The next prime is 117352043. The reversal of 117352026 is 620253711.

It is a happy number.

117352026 is a `hidden beast` number, since 117 + 3 + 520 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (117352021) 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 47 ways as a sum of consecutive naturals, for example, 332266 + ... + 332618.

It is an arithmetic number, because the mean of its divisors is an integer number (3064932).

Almost surely, 2117352026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117352026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147116736).

117352026 is an abundant number, since it is smaller than the sum of its proper divisors (176881446).

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

117352026 is a wasteful number, since it uses less digits than its factorization.

117352026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 117352026 is about 10832.9140123976. The cubic root of 117352026 is about 489.5873605045.

The spelling of 117352026 in words is "one hundred seventeen million, three hundred fifty-two thousand, twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 73 99 138 146 198 207 219 253 353 414 438 506 657 706 759 803 1059 1314 1518 1606 1679 2118 2277 2409 3177 3358 3883 4554 4818 5037 6354 7227 7766 8119 10074 11649 14454 15111 16238 18469 23298 24357 25769 30222 34947 36938 48714 51538 55407 69894 73071 77307 89309 110814 146142 154614 166221 178618 231921 267927 283459 332442 463842 535854 566918 592687 803781 850377 1185374 1607562 1700754 1778061 2551131 3556122 5102262 5334183 6519557 10668366 13039114 19558671 39117342 58676013 117352026