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136713040 = 2451799547
BaseRepresentation
bin10000010011000…
…01001101010000
3100112020202000221
420021201031100
5234444304130
621322122424
73250020202
oct1011411520
9315222027
10136713040
1170197592
1239950414
13224291b9
141422a772
15c00787a
hex8261350

136713040 has 40 divisors (see below), whose sum is σ = 319667040. Its totient is φ = 54374016.

The previous prime is 136713011. The next prime is 136713053. The reversal of 136713040 is 40317631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 136712996 and 136713014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9547 + ... + 19093.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2136713040 is an apocalyptic number.

136713040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136713040 is the 9547-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159833520).

136713040 is an abundant number, since it is smaller than the sum of its proper divisors (182954000).

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

136713040 is a wasteful number, since it uses less digits than its factorization.

136713040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9739 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 136713040 is about 11692.4351612485. The cubic root of 136713040 is about 515.1534905548.

The spelling of 136713040 in words is "one hundred thirty-six million, seven hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 9547 14320 19094 38188 47735 76376 95470 152752 190940 381880 763760 1708913 3417826 6835652 8544565 13671304 17089130 27342608 34178260 68356520 136713040