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113422240 = 2551933673
BaseRepresentation
bin1101100001010…
…10111110100000
321220102110001201
412300222332200
5213014002430
615131010544
72545034041
oct660527640
9256373051
10113422240
1159029898
1231b99a54
131a662c69
14110c68c8
159e568ca
hex6c2afa0

113422240 has 48 divisors (see below), whose sum is σ = 269421768. Its totient is φ = 45121536.

The previous prime is 113422237. The next prime is 113422259. The reversal of 113422240 is 42224311.

It can be written as a sum of positive squares in 4 ways, for example, as 47941776 + 65480464 = 6924^2 + 8092^2 .

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 7 ways as a sum of consecutive naturals, for example, 29044 + ... + 32716.

Almost surely, 2113422240 is an apocalyptic number.

113422240 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 113422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134710884).

113422240 is an abundant number, since it is smaller than the sum of its proper divisors (155999528).

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

113422240 is a wasteful number, since it uses less digits than its factorization.

113422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 113422240 is about 10649.9877934202. The cubic root of 113422240 is about 484.0602342902.

Adding to 113422240 its reverse (42224311), we get a palindrome (155646551).

The spelling of 113422240 in words is "one hundred thirteen million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1930 3088 3673 3860 6176 7346 7720 14692 15440 18365 29384 30880 36730 58768 73460 117536 146920 293840 587680 708889 1417778 2835556 3544445 5671112 7088890 11342224 14177780 22684448 28355560 56711120 113422240