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113049216 = 273374673
BaseRepresentation
bin1101011110011…
…11111010000000
321212201111101000
412233033322000
5212420033331
615115012000
72541621360
oct657177200
9255644330
10113049216
11588a4605
1231a3a000
131a562237
141102a9a0
159dd10e6
hex6bcfe80

113049216 has 128 divisors (see below), whose sum is σ = 381398400. Its totient is φ = 32292864.

The previous prime is 113049197. The next prime is 113049239. The reversal of 113049216 is 612940311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 113049216.

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, 21856 + ... + 26528.

It is an arithmetic number, because the mean of its divisors is an integer number (2979675).

Almost surely, 2113049216 is an apocalyptic number.

113049216 is a gapful number since it is divisible by the number (16) 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 113049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190699200).

113049216 is an abundant number, since it is smaller than the sum of its proper divisors (268349184).

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

113049216 is an equidigital number, since it uses as much as digits as its factorization.

113049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 113049216 is about 10632.4604866418. The cubic root of 113049216 is about 483.5289910456.

Adding to 113049216 its reverse (612940311), we get a palindrome (725989527).

The spelling of 113049216 in words is "one hundred thirteen million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 4673 6048 8064 9346 12096 14019 18692 24192 28038 32711 37384 42057 56076 65422 74768 84114 98133 112152 126171 130844 149536 168228 196266 224304 252342 261688 294399 299072 336456 392532 448608 504684 523376 588798 598144 672912 785064 883197 897216 1009368 1046752 1177596 1345824 1570128 1766394 1794432 2018736 2093504 2355192 2691648 3140256 3532788 4037472 4187008 4710384 5383296 6280512 7065576 8074944 9420768 12561024 14131152 16149888 18841536 28262304 37683072 56524608 113049216