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116136 = 23321613
BaseRepresentation
bin11100010110101000
312220022100
4130112220
512204021
62253400
7662406
oct342650
9186270
10116136
117a289
1257260
1340b27
1430476
1524626
hex1c5a8

116136 has 24 divisors (see below), whose sum is σ = 314730. Its totient is φ = 38688.

The previous prime is 116131. The next prime is 116141. The reversal of 116136 is 631611.

It is an interprime number because it is at equal distance from previous prime (116131) and next prime (116141).

It can be written as a sum of positive squares in only one way, i.e., 93636 + 22500 = 306^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 735 + ... + 878.

2116136 is an apocalyptic number.

It is an amenable number.

116136 is an abundant number, since it is smaller than the sum of its proper divisors (198594).

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

116136 is a wasteful number, since it uses less digits than its factorization.

116136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1618 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 116136 is about 340.7873237079. The cubic root of 116136 is about 48.7890417032.

Adding to 116136 its reverse (631611), we get a palindrome (747747).

It can be divided in two parts, 116 and 136, that added together give a palindrome (252).

The spelling of 116136 in words is "one hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1613 3226 4839 6452 9678 12904 14517 19356 29034 38712 58068 116136