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116400705 = 35371311601
BaseRepresentation
bin1101111000000…
…10001001000001
322010000202202020
412330002021001
5214244310310
615314512053
72612250441
oct674021101
9263022666
10116400705
115a783633
1232b95629
131b166875
1411660121
15a344170
hex6f02241

116400705 has 32 divisors (see below), whose sum is σ = 192855168. Its totient is φ = 59904000.

The previous prime is 116400703. The next prime is 116400709. The reversal of 116400705 is 507004611.

It is not a de Polignac number, because 116400705 - 21 = 116400703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116400701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71905 + ... + 73505.

It is an arithmetic number, because the mean of its divisors is an integer number (6026724).

Almost surely, 2116400705 is an apocalyptic number.

116400705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116400705 is a deficient number, since it is larger than the sum of its proper divisors (76454463).

116400705 is a wasteful number, since it uses less digits than its factorization.

116400705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 116400705 is about 10788.9158398794. The cubic root of 116400705 is about 488.2608133394.

The spelling of 116400705 in words is "one hundred sixteen million, four hundred thousand, seven hundred five".

Divisors: 1 3 5 15 37 111 131 185 393 555 655 1601 1965 4803 4847 8005 14541 24015 24235 59237 72705 177711 209731 296185 629193 888555 1048655 3145965 7760047 23280141 38800235 116400705