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117508420 = 22517536521
BaseRepresentation
bin1110000000100…
…00100101000100
322012010001020201
413000100211010
5220040232140
615354340244
72624543101
oct700204504
9265101221
10117508420
116036a8a7
123342a684
131b463b13
141186baa8
15a4b249a
hex7010944

117508420 has 48 divisors (see below), whose sum is σ = 266254128. Its totient is φ = 43397120.

The previous prime is 117508399. The next prime is 117508421. The reversal of 117508420 is 24805711.

117508420 = 643 + 653 + ... + 1483.

It can be written as a sum of positive squares in 8 ways, for example, as 21977344 + 95531076 = 4688^2 + 9774^2 .

It is not an unprimeable number, because it can be changed into a prime (117508421) 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, 14760 + ... + 21280.

It is an arithmetic number, because the mean of its divisors is an integer number (5546961).

Almost surely, 2117508420 is an apocalyptic number.

117508420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117508420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133127064).

117508420 is an abundant number, since it is smaller than the sum of its proper divisors (148745708).

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

117508420 is a wasteful number, since it uses less digits than its factorization.

117508420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 117508420 is about 10840.1300730203. The cubic root of 117508420 is about 489.8047535323.

The spelling of 117508420 in words is "one hundred seventeen million, five hundred eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 6521 9010 13042 18020 26084 32605 65210 110857 130420 221714 345613 443428 554285 691226 1108570 1382452 1728065 2217140 3456130 5875421 6912260 11750842 23501684 29377105 58754210 117508420