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136770480 = 243257112467
BaseRepresentation
bin10000010011011…
…11001110110000
3100112100122211100
420021233032300
5240003123410
621323244400
73250346520
oct1011571660
9315318740
10136770480
1170226760
1239979700
13224493a2
1414243680
15c0198c0
hex826f3b0

136770480 has 240 divisors, whose sum is σ = 572891904. Its totient is φ = 28408320.

The previous prime is 136770461. The next prime is 136770497. The reversal of 136770480 is 84077631.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54207 + ... + 56673.

Almost surely, 2136770480 is an apocalyptic number.

136770480 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 136770480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286445952).

136770480 is an abundant number, since it is smaller than the sum of its proper divisors (436121424).

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

136770480 is a wasteful number, since it uses less digits than its factorization.

136770480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 136770480 is about 11694.8911923113. The cubic root of 136770480 is about 515.2256277197.

The spelling of 136770480 in words is "one hundred thirty-six million, seven hundred seventy thousand, four hundred eighty".