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113652 = 223271141
BaseRepresentation
bin11011101111110100
312202220100
4123233310
512114102
62234100
7652230
oct335764
9182810
10113652
1178430
1255930
133c966
142d5c0
1523a1c
hex1bbf4

113652 has 72 divisors (see below), whose sum is σ = 366912. Its totient is φ = 28800.

The previous prime is 113647. The next prime is 113657. The reversal of 113652 is 256311.

Adding to 113652 its reverse (256311), we get a palindrome (369963).

It can be divided in two parts, 11 and 3652, that added together give a palindrome (3663).

113652 is a `hidden beast` number, since 1 + 13 + 652 = 666.

It is an interprime number because it is at equal distance from previous prime (113647) and next prime (113657).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113657) 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, 2752 + ... + 2792.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2113652 is an apocalyptic number.

113652 is a gapful number since it is divisible by the number (12) 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 113652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456).

113652 is an abundant number, since it is smaller than the sum of its proper divisors (253260).

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

113652 is a wasteful number, since it uses less digits than its factorization.

113652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 113652 is about 337.1231229091. The cubic root of 113652 is about 48.4386868249.

The spelling of 113652 in words is "one hundred thirteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1353 1386 1476 1722 1804 2583 2706 2772 3157 3444 4059 5166 5412 6314 8118 9471 10332 12628 16236 18942 28413 37884 56826 113652