Search a number
-
+
116339652 = 2238111331
BaseRepresentation
bin1101110111100…
…11001111000100
322002220200000000
412323303033010
5214240332102
615313321300
72611604442
oct673631704
9262820000
10116339652
115a741780
1232b66230
131b144b40
1411645b92
15a33101c
hex6ef33c4

116339652 has 216 divisors, whose sum is σ = 370336512. Its totient is φ = 31492800.

The previous prime is 116339567. The next prime is 116339693. The reversal of 116339652 is 256933611.

116339652 is a `hidden beast` number, since 11 + 633 + 9 + 6 + 5 + 2 = 666.

It is a super-2 number, since 2×1163396522 = 27069829254962208, which contains 22 as substring.

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

Its product of digits (29160) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3752877 + ... + 3752907.

Almost surely, 2116339652 is an apocalyptic number.

116339652 is a gapful number since it is divisible by the number (12) 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 116339652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185168256).

116339652 is an abundant number, since it is smaller than the sum of its proper divisors (253996860).

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

116339652 is a wasteful number, since it uses less digits than its factorization.

116339652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 116339652 is about 10786.0860371128. The cubic root of 116339652 is about 488.1754329838.

The spelling of 116339652 in words is "one hundred sixteen million, three hundred thirty-nine thousand, six hundred fifty-two".