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136680 = 23351767
BaseRepresentation
bin100001010111101000
320221111020
4201113220
513333210
62532440
71106325
oct412750
9227436
10136680
1193765
1267120
134a29b
1437b4c
152a770
hex215e8

136680 has 64 divisors (see below), whose sum is σ = 440640. Its totient is φ = 33792.

The previous prime is 136657. The next prime is 136691. The reversal of 136680 is 86631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 136680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 2073.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2136680 is an apocalyptic number.

136680 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 136680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320).

136680 is an abundant number, since it is smaller than the sum of its proper divisors (303960).

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

136680 is a wasteful number, since it uses less digits than its factorization.

136680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 136680 is about 369.7025831665. The cubic root of 136680 is about 51.5111987460.

The spelling of 136680 in words is "one hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 67 68 85 102 120 134 136 170 201 204 255 268 335 340 402 408 510 536 670 680 804 1005 1020 1139 1340 1608 2010 2040 2278 2680 3417 4020 4556 5695 6834 8040 9112 11390 13668 17085 22780 27336 34170 45560 68340 136680