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136670820 = 2235111317937
BaseRepresentation
bin10000010010101…
…10111001100100
3100112011121010020
420021112321210
5234441431240
621321155140
73246453126
oct1011267144
9315147106
10136670820
11701688a0
123992bab0
1322412c10
1414219216
15beea0d0
hex8256e64

136670820 has 192 divisors, whose sum is σ = 476534016. Its totient is φ = 28753920.

The previous prime is 136670791. The next prime is 136670851. The reversal of 136670820 is 28076631.

136670820 = T1 + T2 + ... + T935.

136670820 is a nontrivial binomial coefficient, being equal to C(937, 3).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is the 935-th tetrahedral number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145392 + ... + 146328.

It is an arithmetic number, because the mean of its divisors is an integer number (2481948).

Almost surely, 2136670820 is an apocalyptic number.

136670820 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 136670820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238267008).

136670820 is an abundant number, since it is smaller than the sum of its proper divisors (339863196).

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

136670820 is a wasteful number, since it uses less digits than its factorization.

136670820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 136670820 is about 11690.6295809935. The cubic root of 136670820 is about 515.1004548442.

The spelling of 136670820 in words is "one hundred thirty-six million, six hundred seventy thousand, eight hundred twenty".