Search a number
-
+
116829516 = 22329973461
BaseRepresentation
bin1101111011010…
…10110101001100
322010211112222010
412331222311030
5214402021031
615332021220
72616014556
oct675526514
9263745863
10116829516
115aa46821
1233161810
131b286abb
14117324d6
15a3cb246
hex6f6ad4c

116829516 has 48 divisors (see below), whose sum is σ = 284991840. Its totient is φ = 37201920.

The previous prime is 116829473. The next prime is 116829523. The reversal of 116829516 is 615928611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32026 + ... + 35486.

It is an arithmetic number, because the mean of its divisors is an integer number (5937330).

Almost surely, 2116829516 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 116829516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142495920).

116829516 is an abundant number, since it is smaller than the sum of its proper divisors (168162324).

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

116829516 is a wasteful number, since it uses less digits than its factorization.

116829516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3592 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 116829516 is about 10808.7703278403. The cubic root of 116829516 is about 488.8596500037.

The spelling of 116829516 in words is "one hundred sixteen million, eight hundred twenty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 174 194 291 348 388 582 1164 2813 3461 5626 6922 8439 10383 11252 13844 16878 20766 33756 41532 100369 200738 301107 335717 401476 602214 671434 1007151 1204428 1342868 2014302 4028604 9735793 19471586 29207379 38943172 58414758 116829516