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80136 = 2333753
BaseRepresentation
bin10011100100001000
311001221000
4103210020
510031021
61415000
7452430
oct234410
9131830
1080136
1155231
123a460
132a624
14212c0
1518b26
hex13908

80136 has 64 divisors (see below), whose sum is σ = 259200. Its totient is φ = 22464.

The previous prime is 80111. The next prime is 80141. The reversal of 80136 is 63108.

80136 = T23 + T24 + ... + T78.

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

It is an Ulam number.

It is an unprimeable number.

80136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486 + ... + 1538.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

280136 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 80136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

80136 is an abundant number, since it is smaller than the sum of its proper divisors (179064).

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

80136 is a wasteful number, since it uses less digits than its factorization.

80136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 80136 is about 283.0830266901. The cubic root of 80136 is about 43.1130969039.

It can be divided in two parts, 80 and 136, that added together give a cube (216 = 63).

The spelling of 80136 in words is "eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 954 1113 1272 1431 1484 1512 1908 2226 2862 2968 3339 3816 4452 5724 6678 8904 10017 11448 13356 20034 26712 40068 80136