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117561540 = 22357512609
BaseRepresentation
bin1110000000111…
…01100011000100
322012012202010010
413000131203010
5220043432130
615355430220
72625154005
oct700354304
9265182103
10117561540
11603a67a8
1233455370
131b482055
14118831ac
15a4c30b0
hex701d8c4

117561540 has 48 divisors (see below), whose sum is σ = 329736960. Its totient is φ = 31296000.

The previous prime is 117561539. The next prime is 117561541. The reversal of 117561540 is 45165711.

It is an interprime number because it is at equal distance from previous prime (117561539) and next prime (117561541).

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 = 117561498 and 117561507.

It is not an unprimeable number, because it can be changed into a prime (117561541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43756 + ... + 46364.

It is an arithmetic number, because the mean of its divisors is an integer number (6869520).

Almost surely, 2117561540 is an apocalyptic number.

117561540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117561540 is an abundant number, since it is smaller than the sum of its proper divisors (212175420).

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

117561540 is a wasteful number, since it uses less digits than its factorization.

117561540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 117561540 is about 10842.5799512847. The cubic root of 117561540 is about 489.8785482695.

The spelling of 117561540 in words is "one hundred seventeen million, five hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 751 1502 2253 2609 3004 3755 4506 5218 7510 7827 9012 10436 11265 13045 15020 15654 22530 26090 31308 39135 45060 52180 78270 156540 1959359 3918718 5878077 7837436 9796795 11756154 19593590 23512308 29390385 39187180 58780770 117561540