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117290916 = 2234563643
BaseRepresentation
bin1101111110110…
…11011110100100
322011200222220000
412333123132210
5220011302131
615345541300
72622646011
oct677333644
9264628800
10117290916
1160231446
1233344830
131b3b8b12
1411812708
15a46cce6
hex6fdb7a4

117290916 has 60 divisors (see below), whose sum is σ = 307643952. Its totient is φ = 38966832.

The previous prime is 117290909. The next prime is 117290917. The reversal of 117290916 is 619092711.

It is a super-3 number, since 3×1172909163 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (117290917) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 182091 + ... + 182733.

Almost surely, 2117290916 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 117290916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153821976).

117290916 is an abundant number, since it is smaller than the sum of its proper divisors (190353036).

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

117290916 is a wasteful number, since it uses less digits than its factorization.

117290916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 117290916 is about 10830.0930743923. The cubic root of 117290916 is about 489.5023630275.

It can be divided in two parts, 11 and 7290916, that added together give a palindrome (7290927).

The spelling of 117290916 in words is "one hundred seventeen million, two hundred ninety thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 563 643 1126 1286 1689 1929 2252 2572 3378 3858 5067 5787 6756 7716 10134 11574 15201 17361 20268 23148 30402 34722 45603 52083 60804 69444 91206 104166 182412 208332 362009 724018 1086027 1448036 2172054 3258081 4344108 6516162 9774243 13032324 19548486 29322729 39096972 58645458 117290916