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114597000 = 233253717107
BaseRepresentation
bin1101101010010…
…01110010001000
321222122010112100
412311021302020
5213314101000
615212113400
72561026020
oct665116210
9258563470
10114597000
1159761471
1232465860
131a98489b
1411310a80
15a0d9a00
hex6d49c88

114597000 has 384 divisors, whose sum is σ = 473091840. Its totient is φ = 24422400.

The previous prime is 114596947. The next prime is 114597011. The reversal of 114597000 is 795411.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070947 + ... + 1071053.

It is an arithmetic number, because the mean of its divisors is an integer number (1232010).

Almost surely, 2114597000 is an apocalyptic number.

114597000 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 114597000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236545920).

114597000 is an abundant number, since it is smaller than the sum of its proper divisors (358494840).

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

114597000 is a wasteful number, since it uses less digits than its factorization.

114597000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 114597000 is about 10704.9988323213. The cubic root of 114597000 is about 485.7257000119.

The spelling of 114597000 in words is "one hundred fourteen million, five hundred ninety-seven thousand".