Search a number
-
+
117206496 = 25321136997
BaseRepresentation
bin1101111110001…
…10110111100000
322011112201002100
412333012313200
5220001101441
615344050400
72622144621
oct677066740
9264481070
10117206496
1160183a80
1233303a00
131b389574
14117cda48
15a452cb6
hex6fc6de0

117206496 has 72 divisors (see below), whose sum is σ = 363616344. Its totient is φ = 35516160.

The previous prime is 117206489. The next prime is 117206521. The reversal of 117206496 is 694602711.

117206496 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 0 + 649 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117206496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15331 + ... + 21666.

It is an arithmetic number, because the mean of its divisors is an integer number (5050227).

Almost surely, 2117206496 is an apocalyptic number.

117206496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117206496 is an abundant number, since it is smaller than the sum of its proper divisors (246409848).

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

117206496 is a wasteful number, since it uses less digits than its factorization.

117206496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37024 (or 37013 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 117206496 is about 10826.1948994095. The cubic root of 117206496 is about 489.3848952556.

The spelling of 117206496 in words is "one hundred seventeen million, two hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 36997 73994 110991 147988 221982 295976 332973 406967 443964 591952 665946 813934 887928 1183904 1220901 1331892 1627868 1775856 2441802 2663784 3255736 3551712 3662703 4883604 5327568 6511472 7325406 9767208 10655136 13022944 14650812 19534416 29301624 39068832 58603248 117206496