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115056040 = 235111092399
BaseRepresentation
bin1101101101110…
…01110110101000
322000111110012211
412312321312220
5213423243130
615230014504
72564650231
oct666716650
9260443184
10115056040
1159a45340
1232647434
131aab57c8
14113d0088
15a17aa2a
hex6db9da8

115056040 has 64 divisors (see below), whose sum is σ = 285120000. Its totient is φ = 41437440.

The previous prime is 115056013. The next prime is 115056049. The reversal of 115056040 is 40650511.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (115056049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46761 + ... + 49159.

It is an arithmetic number, because the mean of its divisors is an integer number (4455000).

Almost surely, 2115056040 is an apocalyptic number.

115056040 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 115056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560000).

115056040 is an abundant number, since it is smaller than the sum of its proper divisors (170063960).

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

115056040 is a wasteful number, since it uses less digits than its factorization.

115056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 115056040 is about 10726.4178549971. The cubic root of 115056040 is about 486.3733914093.

The spelling of 115056040 in words is "one hundred fifteen million, fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 2180 2398 2399 4360 4796 4798 5995 9592 9596 11990 11995 19192 23980 23990 26389 47960 47980 52778 95960 105556 131945 211112 261491 263890 522982 527780 1045964 1055560 1307455 2091928 2614910 2876401 5229820 5752802 10459640 11505604 14382005 23011208 28764010 57528020 115056040