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114670080 = 29345779
BaseRepresentation
bin1101101010110…
…11101000000000
321222202211210000
412311123220000
5213323420310
615213440000
72561452050
oct665335000
9258684700
10114670080
1159801368
12324a0000
131a9abc25
141132d560
15a1014c0
hex6d5ba00

114670080 has 400 divisors, whose sum is σ = 475326720. Its totient is φ = 25878528.

The previous prime is 114670043. The next prime is 114670123. The reversal of 114670080 is 80076411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451481 + ... + 1451559.

Almost surely, 2114670080 is an apocalyptic number.

114670080 is a gapful number since it is divisible by the number (10) 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 114670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237663360).

114670080 is an abundant number, since it is smaller than the sum of its proper divisors (360656640).

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

114670080 is an frugal number, since it uses more digits than its factorization.

114670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114670080 is about 10708.4116469250. The cubic root of 114670080 is about 485.8289292739.

The spelling of 114670080 in words is "one hundred fourteen million, six hundred seventy thousand, eighty".