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117460920 = 23354012441
BaseRepresentation
bin1110000000001…
…00111110111000
322012000122002110
413000010332320
5220032222140
615353332320
72624254443
oct700047670
9265018073
10117460920
1160338145
12334070a0
131b448305
141185865a
15a4a3380
hex7004fb8

117460920 has 64 divisors (see below), whose sum is σ = 353406240. Its totient is φ = 31232000.

The previous prime is 117460883. The next prime is 117460921. The reversal of 117460920 is 29064711.

It is a happy number.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117460921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46900 + ... + 49340.

Almost surely, 2117460920 is an apocalyptic number.

117460920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117460920 is an abundant number, since it is smaller than the sum of its proper divisors (235945320).

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

117460920 is a wasteful number, since it uses less digits than its factorization.

117460920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 117460920 is about 10837.9389184475. The cubic root of 117460920 is about 489.7387473080.

The spelling of 117460920 in words is "one hundred seventeen million, four hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 1203 1604 2005 2406 2441 3208 4010 4812 4882 6015 7323 8020 9624 9764 12030 12205 14646 16040 19528 24060 24410 29292 36615 48120 48820 58584 73230 97640 146460 292920 978841 1957682 2936523 3915364 4894205 5873046 7830728 9788410 11746092 14682615 19576820 23492184 29365230 39153640 58730460 117460920