Search a number
-
+
117675864 = 233243191199
BaseRepresentation
bin1110000001110…
…01011101011000
322012102112221100
413000321131120
5220111111424
615402111400
72626141215
oct700713530
9265375840
10117675864
1160474689
12334ab560
131b4c20b7
14118b2b0c
15a4e6dc9
hex7039758

117675864 has 96 divisors (see below), whose sum is σ = 329472000. Its totient is φ = 37920960.

The previous prime is 117675851. The next prime is 117675917. The reversal of 117675864 is 468576711.

117675864 is a `hidden beast` number, since 1 + 1 + 7 + 67 + 586 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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, 591237 + ... + 591435.

It is an arithmetic number, because the mean of its divisors is an integer number (3432000).

Almost surely, 2117675864 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 117675864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736000).

117675864 is an abundant number, since it is smaller than the sum of its proper divisors (211796136).

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

117675864 is a wasteful number, since it uses less digits than its factorization.

117675864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 117675864 is about 10847.8506626889. The cubic root of 117675864 is about 490.0372927330.

The spelling of 117675864 in words is "one hundred seventeen million, six hundred seventy-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 191 199 258 344 382 387 398 516 573 597 764 774 796 1032 1146 1194 1528 1548 1592 1719 1791 2292 2388 3096 3438 3582 4584 4776 6876 7164 8213 8557 13752 14328 16426 17114 24639 25671 32852 34228 38009 49278 51342 65704 68456 73917 76018 77013 98556 102684 114027 147834 152036 154026 197112 205368 228054 295668 304072 308052 342081 456108 591336 616104 684162 912216 1368324 1634387 2736648 3268774 4903161 6537548 9806322 13075096 14709483 19612644 29418966 39225288 58837932 117675864