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117641640 = 23355031949
BaseRepresentation
bin1110000001100…
…01000110101000
322012100210222210
413000301012220
5220104013030
615401245120
72625636354
oct700610650
9265323883
10117641640
11604509a6
12334937a0
131b4ac64c
14118a4464
15a4dbbb0
hex70311a8

117641640 has 64 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 31292672.

The previous prime is 117641639. The next prime is 117641653. The reversal of 117641640 is 46146711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 117641598 and 117641607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59386 + ... + 61334.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2117641640 is an apocalyptic number.

117641640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117641640 is an abundant number, since it is smaller than the sum of its proper divisors (236166360).

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

117641640 is a wasteful number, since it uses less digits than its factorization.

117641640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 117641640 is about 10846.2730926342. The cubic root of 117641640 is about 489.9897818222.

The spelling of 117641640 in words is "one hundred seventeen million, six hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 503 1006 1509 1949 2012 2515 3018 3898 4024 5030 5847 6036 7545 7796 9745 10060 11694 12072 15090 15592 19490 20120 23388 29235 30180 38980 46776 58470 60360 77960 116940 233880 980347 1960694 2941041 3921388 4901735 5882082 7842776 9803470 11764164 14705205 19606940 23528328 29410410 39213880 58820820 117641640