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136255680 = 263251121723
BaseRepresentation
bin10000001111100…
…01100011000000
3100111101111122200
420013301203000
5234340140210
621304233200
73243103611
oct1007614300
9314344580
10136255680
116aa04a00
123976b800
13222c8c82
141414bc08
15be670c0
hex81f18c0

136255680 has 504 divisors, whose sum is σ = 569159136. Its totient is φ = 29736960.

The previous prime is 136255673. The next prime is 136255681. The reversal of 136255680 is 86552631.

It is a super-2 number, since 2×1362556802 = 37131220664524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136255681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5924149 + ... + 5924171.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 2136255680 is an apocalyptic number.

136255680 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 136255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

136255680 is an abundant number, since it is smaller than the sum of its proper divisors (432903456).

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

136255680 is a wasteful number, since it uses less digits than its factorization.

136255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 136255680 is about 11672.8608318612. The cubic root of 136255680 is about 514.5783836808.

The spelling of 136255680 in words is "one hundred thirty-six million, two hundred fifty-five thousand, six hundred eighty".