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115136880 = 2435593809
BaseRepresentation
bin1101101110011…
…01100101110000
322000122120002220
412313031211300
5213433340010
615231441040
72565435015
oct667154560
9260576086
10115136880
1159aa0051
1232686180
131ab13541
141141170c
15a194970
hex6dcd970

115136880 has 80 divisors (see below), whose sum is σ = 357968160. Its totient is φ = 30613504.

The previous prime is 115136867. The next prime is 115136893. The reversal of 115136880 is 88631511.

It is an interprime number because it is at equal distance from previous prime (115136867) and next prime (115136893).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1151368802 = 26513002272268800, 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 15 ways as a sum of consecutive naturals, for example, 141916 + ... + 142724.

It is an arithmetic number, because the mean of its divisors is an integer number (4474602).

Almost surely, 2115136880 is an apocalyptic number.

115136880 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 115136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178984080).

115136880 is an abundant number, since it is smaller than the sum of its proper divisors (242831280).

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

115136880 is a wasteful number, since it uses less digits than its factorization.

115136880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 115136880 is about 10730.1854597206. The cubic root of 115136880 is about 486.4872756811.

The spelling of 115136880 in words is "one hundred fifteen million, one hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 593 809 1186 1618 1779 2372 2427 2965 3236 3558 4045 4744 4854 5930 6472 7116 8090 8895 9488 9708 11860 12135 12944 14232 16180 17790 19416 23720 24270 28464 32360 35580 38832 47440 48540 64720 71160 97080 142320 194160 479737 959474 1439211 1918948 2398685 2878422 3837896 4797370 5756844 7196055 7675792 9594740 11513688 14392110 19189480 23027376 28784220 38378960 57568440 115136880