Search a number
-
+
116454564 = 22337314771
BaseRepresentation
bin1101111000011…
…11010010100100
322010010111122000
412330033102210
5214303021224
615320005300
72612563452
oct674172244
9263114560
10116454564
115a810046
1233000830
131b185235
14116759d2
15a3550c9
hex6f0f4a4

116454564 has 48 divisors (see below), whose sum is σ = 306075840. Its totient is φ = 38283840.

The previous prime is 116454563. The next prime is 116454571. The reversal of 116454564 is 465454611.

116454564 is a `hidden beast` number, since 1 + 1 + 645 + 4 + 5 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116454563) 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, 499 + ... + 15269.

It is an arithmetic number, because the mean of its divisors is an integer number (6376580).

Almost surely, 2116454564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116454564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153037920).

116454564 is an abundant number, since it is smaller than the sum of its proper divisors (189621276).

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

116454564 is a wasteful number, since it uses less digits than its factorization.

116454564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14857 (or 14849 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 116454564 is about 10791.4115851449. The cubic root of 116454564 is about 488.3361083709.

The spelling of 116454564 in words is "one hundred sixteen million, four hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 14771 29542 44313 59084 88626 132939 177252 265878 398817 531756 797634 1078283 1595268 2156566 3234849 4313132 6469698 9704547 12939396 19409094 29113641 38818188 58227282 116454564