Search a number
-
+
113051880 = 23325714423
BaseRepresentation
bin1101011110100…
…00100011101000
321212201122000200
412233100203220
5212420130010
615115032200
72541632214
oct657204350
9255648020
10113051880
11588a6607
1231a3b660
131a563506
141102b944
159dd1cc0
hex6bd08e8

113051880 has 96 divisors (see below), whose sum is σ = 372677760. Its totient is φ = 29715840.

The previous prime is 113051879. The next prime is 113051891. The reversal of 113051880 is 88150311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23349 + ... + 27771.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 2113051880 is an apocalyptic number.

113051880 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 113051880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

113051880 is an abundant number, since it is smaller than the sum of its proper divisors (259625880).

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

113051880 is a wasteful number, since it uses less digits than its factorization.

113051880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 113051880 is about 10632.5857626449. The cubic root of 113051880 is about 483.5327891292.

The spelling of 113051880 in words is "one hundred thirteen million, fifty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 4423 5112 6390 8520 8846 12780 13269 17692 22115 25560 26538 35384 39807 44230 53076 66345 79614 88460 106152 132690 159228 176920 199035 265380 314033 318456 398070 530760 628066 796140 942099 1256132 1570165 1592280 1884198 2512264 2826297 3140330 3768396 4710495 5652594 6280660 7536792 9420990 11305188 12561320 14131485 18841980 22610376 28262970 37683960 56525940 113051880