Search a number
-
+
115790454 = 232134431117
BaseRepresentation
bin1101110011011…
…01001001110110
322001212202122100
412321231021312
5214120243304
615253442530
72604126333
oct671551166
9261782570
10115790454
115a3a709a
1232940446
131acb1b80
141154198a
15a273439
hex6e6d276

115790454 has 48 divisors (see below), whose sum is σ = 271030032. Its totient is φ = 35515584.

The previous prime is 115790449. The next prime is 115790459. The reversal of 115790454 is 454097511.

115790454 is a `hidden beast` number, since 115 + 7 + 90 + 454 = 666.

It is an interprime number because it is at equal distance from previous prime (115790449) and next prime (115790459).

It is a super-2 number, since 2×1157904542 = 26814858475052232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115790459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103104 + ... + 104220.

It is an arithmetic number, because the mean of its divisors is an integer number (5646459).

Almost surely, 2115790454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115790454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135515016).

115790454 is an abundant number, since it is smaller than the sum of its proper divisors (155239578).

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

115790454 is a wasteful number, since it uses less digits than its factorization.

115790454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 115790454 is about 10760.5972882550. The cubic root of 115790454 is about 487.4060536916.

The spelling of 115790454 in words is "one hundred fifteen million, seven hundred ninety thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 443 886 1117 1329 2234 2658 3351 3987 5759 6702 7974 10053 11518 14521 17277 20106 29042 34554 43563 51831 87126 103662 130689 261378 494831 989662 1484493 2968986 4453479 6432803 8906958 12865606 19298409 38596818 57895227 115790454