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116252032 = 2713193677
BaseRepresentation
bin1101110110111…
…01110110000000
322002202012210211
412323131312000
5214230031112
615311403504
72611061131
oct673356600
9262665724
10116252032
115a691966
1232b23594
131b113cb0
1411621c88
15a3150a7
hex6eddd80

116252032 has 64 divisors (see below), whose sum is σ = 262609200. Its totient is φ = 50817024.

The previous prime is 116252011. The next prime is 116252047. The reversal of 116252032 is 230252611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 116251994 and 116252012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29778 + ... + 33454.

Almost surely, 2116252032 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 116252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131304600).

116252032 is an abundant number, since it is smaller than the sum of its proper divisors (146357168).

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

116252032 is a wasteful number, since it uses less digits than its factorization.

116252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 116252032 is about 10782.0235577558. The cubic root of 116252032 is about 488.0528474524.

The spelling of 116252032 in words is "one hundred sixteen million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 416 494 608 832 988 1216 1664 1976 2432 3677 3952 7354 7904 14708 15808 29416 31616 47801 58832 69863 95602 117664 139726 191204 235328 279452 382408 470656 558904 764816 908219 1117808 1529632 1816438 2235616 3059264 3632876 4471232 6118528 7265752 8942464 14531504 29063008 58126016 116252032