Search a number
-
+
113881800 = 23352593217
BaseRepresentation
bin1101100100110…
…11001011001000
321221021210110110
412302123023020
5213123204200
615144514320
72551656624
oct662331310
9257253413
10113881800
115931309a
123217b9a0
131a7941a6
14111a6184
159ee7b50
hex6c9b2c8

113881800 has 96 divisors (see below), whose sum is σ = 359128800. Its totient is φ = 29844480.

The previous prime is 113881751. The next prime is 113881871. The reversal of 113881800 is 8188311.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 33792 + ... + 37008.

It is an arithmetic number, because the mean of its divisors is an integer number (3740925).

Almost surely, 2113881800 is an apocalyptic number.

113881800 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 113881800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179564400).

113881800 is an abundant number, since it is smaller than the sum of its proper divisors (245247000).

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

113881800 is a wasteful number, since it uses less digits than its factorization.

113881800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 113881800 is about 10671.5415943527. The cubic root of 113881800 is about 484.7131190365.

The spelling of 113881800 in words is "one hundred thirteen million, eight hundred eighty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 177 200 236 295 300 354 472 590 600 708 885 1180 1416 1475 1770 2360 2950 3217 3540 4425 5900 6434 7080 8850 9651 11800 12868 16085 17700 19302 25736 32170 35400 38604 48255 64340 77208 80425 96510 128680 160850 189803 193020 241275 321700 379606 386040 482550 569409 643400 759212 949015 965100 1138818 1518424 1898030 1930200 2277636 2847045 3796060 4555272 4745075 5694090 7592120 9490150 11388180 14235225 18980300 22776360 28470450 37960600 56940900 113881800