Search a number
-
+
116476560 = 24325161773
BaseRepresentation
bin1101111000101…
…00101010010000
322010011121210200
412330110222100
5214304222220
615320255200
72613014544
oct674245220
9263147720
10116476560
115a825622
1233011500
131b192255
141167da24
15a35b890
hex6f14a90

116476560 has 60 divisors (see below), whose sum is σ = 391169532. Its totient is φ = 31060224.

The previous prime is 116476559. The next prime is 116476589. The reversal of 116476560 is 65674611.

116476560 is a `hidden beast` number, since 1 + 1 + 647 + 6 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90098064 + 26378496 = 9492^2 + 5136^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80167 + ... + 81606.

Almost surely, 2116476560 is an apocalyptic number.

116476560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116476560 is an abundant number, since it is smaller than the sum of its proper divisors (274692972).

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

116476560 is a wasteful number, since it uses less digits than its factorization.

116476560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161792 (or 161783 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 116476560 is about 10792.4306808059. The cubic root of 116476560 is about 488.3668521633.

The spelling of 116476560 in words is "one hundred sixteen million, four hundred seventy-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 161773 323546 485319 647092 808865 970638 1294184 1455957 1617730 1941276 2426595 2588368 2911914 3235460 3882552 4853190 5823828 6470920 7279785 7765104 9706380 11647656 12941840 14559570 19412760 23295312 29119140 38825520 58238280 116476560