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136680480 = 25335291091
BaseRepresentation
bin10000010010110…
…01010000100000
3100112012002101000
420021121100200
5234442233410
621321312000
73246523236
oct1011312040
9315162330
10136680480
1170175082
1239935600
1322417431
141421c956
15beecdc0
hex8259420

136680480 has 192 divisors, whose sum is σ = 495331200. Its totient is φ = 35159040.

The previous prime is 136680473. The next prime is 136680503. The reversal of 136680480 is 84086631.

It is a happy number.

It is a super-2 number, since 2×1366804802 = 37363107226060800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124735 + ... + 125825.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2136680480 is an apocalyptic number.

136680480 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 136680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

136680480 is an abundant number, since it is smaller than the sum of its proper divisors (358650720).

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

136680480 is a wasteful number, since it uses less digits than its factorization.

136680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136680480 is about 11691.0427250951. The cubic root of 136680480 is about 515.1125904587.

The spelling of 136680480 in words is "one hundred thirty-six million, six hundred eighty thousand, four hundred eighty".