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112577130 = 23252943133
BaseRepresentation
bin1101011010111…
…00101001101010
321211211111210100
412231130221222
5212304432010
615100530230
72534614131
oct655345152
9254744710
10112577130
1158601956
1231850976
131a4283b3
1410d46918
159d3b2c0
hex6b5ca6a

112577130 has 48 divisors (see below), whose sum is σ = 302800680. Its totient is φ = 28984704.

The previous prime is 112577107. The next prime is 112577137. The reversal of 112577130 is 31775211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76685049 + 35892081 = 8757^2 + 5991^2 .

It is a super-2 number, since 2×1125771302 = 25347220398073800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112577094 and 112577103.

It is not an unprimeable number, because it can be changed into a prime (112577137) 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, 18957 + ... + 24176.

Almost surely, 2112577130 is an apocalyptic number.

112577130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112577130 is an abundant number, since it is smaller than the sum of its proper divisors (190223550).

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

112577130 is a wasteful number, since it uses less digits than its factorization.

112577130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43175 (or 43172 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 112577130 is about 10610.2370378800. The cubic root of 112577130 is about 482.8549903536.

The spelling of 112577130 in words is "one hundred twelve million, five hundred seventy-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 43133 86266 129399 215665 258798 388197 431330 646995 776394 1250857 1293990 1940985 2501714 3752571 3881970 6254285 7505142 11257713 12508570 18762855 22515426 37525710 56288565 112577130