Search a number
-
+
115929540 = 22325644053
BaseRepresentation
bin1101110100011…
…11000111000100
322002010211102200
412322033013010
5214134221130
615300434500
72605245666
oct672170704
9262124380
10115929540
115a491641
12329a8a30
131b03027c
141157a536
15a29e760
hex6e8f1c4

115929540 has 36 divisors (see below), whose sum is σ = 351653484. Its totient is φ = 30914496.

The previous prime is 115929523. The next prime is 115929557. The reversal of 115929540 is 45929511.

115929540 is a `hidden beast` number, since 11 + 592 + 9 + 54 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115929523) and next prime (115929557).

It can be written as a sum of positive squares in 2 ways, for example, as 31877316 + 84052224 = 5646^2 + 9168^2 .

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

It is a super-2 number, since 2×1159295402 = 26879316489223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115929495 and 115929504.

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, 321847 + ... + 322206.

Almost surely, 2115929540 is an apocalyptic number.

115929540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115929540 is an abundant number, since it is smaller than the sum of its proper divisors (235723944).

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

115929540 is a wasteful number, since it uses less digits than its factorization.

115929540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644068 (or 644063 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 115929540 is about 10767.0580940199. The cubic root of 115929540 is about 487.6011308929.

The spelling of 115929540 in words is "one hundred fifteen million, nine hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 644053 1288106 1932159 2576212 3220265 3864318 5796477 6440530 7728636 9660795 11592954 12881060 19321590 23185908 28982385 38643180 57964770 115929540