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115145460 = 22325639697
BaseRepresentation
bin1101101110011…
…11101011110100
322000122222212200
412313033223310
5213434123320
615231544500
72565502023
oct667175364
9260588780
10115145460
1159aa6541
123268b130
131ab17411
14114148ba
15a197290
hex6dcfaf4

115145460 has 36 divisors (see below), whose sum is σ = 349275108. Its totient is φ = 30705408.

The previous prime is 115145431. The next prime is 115145477. The reversal of 115145460 is 64541511.

115145460 is a `hidden beast` number, since 1 + 151 + 454 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87834384 + 27311076 = 9372^2 + 5226^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1151454602 = 26516953917223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319669 + ... + 320028.

Almost surely, 2115145460 is an apocalyptic number.

115145460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115145460 is an abundant number, since it is smaller than the sum of its proper divisors (234129648).

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

115145460 is a wasteful number, since it uses less digits than its factorization.

115145460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639712 (or 639707 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115145460 is about 10730.5852589689. The cubic root of 115145460 is about 486.4993597244.

Adding to 115145460 its reverse (64541511), we get a palindrome (179686971).

The spelling of 115145460 in words is "one hundred fifteen million, one hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 639697 1279394 1919091 2558788 3198485 3838182 5757273 6396970 7676364 9595455 11514546 12793940 19190910 23029092 28786365 38381820 57572730 115145460