Search a number
-
+
113607054 = 232114391307
BaseRepresentation
bin1101100010110…
…00000110001110
321220202211120200
412301120012032
5213040411204
615134554330
72546433621
oct661300616
9256684520
10113607054
1159145730
12320689a6
131a6c9112
1411133db8
159e91539
hex6c5818e

113607054 has 48 divisors (see below), whose sum is σ = 269343360. Its totient is φ = 34321680.

The previous prime is 113607047. The next prime is 113607059. The reversal of 113607054 is 450706311.

113607054 is a `hidden beast` number, since 1 + 1 + 3 + 607 + 0 + 54 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113607059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86269 + ... + 87575.

It is an arithmetic number, because the mean of its divisors is an integer number (5611320).

Almost surely, 2113607054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113607054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134671680).

113607054 is an abundant number, since it is smaller than the sum of its proper divisors (155736306).

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

113607054 is a wasteful number, since it uses less digits than its factorization.

113607054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113607054 is about 10658.6609853208. The cubic root of 113607054 is about 484.3230062762.

The spelling of 113607054 in words is "one hundred thirteen million, six hundred seven thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 439 878 1307 1317 2614 2634 3921 3951 4829 7842 7902 9658 11763 14377 14487 23526 28754 28974 43131 43461 86262 86922 129393 258786 573773 1147546 1721319 3442638 5163957 6311503 10327914 12623006 18934509 37869018 56803527 113607054