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136884 = 223111761
BaseRepresentation
bin100001011010110100
320221202210
4201122310
513340014
62533420
71110036
oct413264
9227683
10136884
1193930
1267270
134a3c7
1437c56
152a859
hex216b4

136884 has 48 divisors (see below), whose sum is σ = 374976. Its totient is φ = 38400.

The previous prime is 136883. The next prime is 136889. The reversal of 136884 is 488631.

It is a happy number.

Its product of digits (4608) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2136884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

136884 is an abundant number, since it is smaller than the sum of its proper divisors (238092).

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

136884 is a wasteful number, since it uses less digits than its factorization.

136884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 136884 is about 369.9783777466. The cubic root of 136884 is about 51.5368134687.

The spelling of 136884 in words is "one hundred thirty-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 61 66 68 102 122 132 183 187 204 244 366 374 561 671 732 748 1037 1122 1342 2013 2074 2244 2684 3111 4026 4148 6222 8052 11407 12444 22814 34221 45628 68442 136884