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136673856 = 26321123753
BaseRepresentation
bin10000010010101…
…11101001000000
3100112011202021200
420021113221000
5234442030411
621321221200
73246465024
oct1011275100
9315152250
10136673856
1170170100
1239931800
1322414407
141421a384
15beeae56
hex8257a40

136673856 has 252 divisors, whose sum is σ = 450584316. Its totient is φ = 39536640.

The previous prime is 136673851. The next prime is 136673879. The reversal of 136673856 is 658376631.

It can be written as a sum of positive squares in 2 ways, for example, as 111513600 + 25160256 = 10560^2 + 5016^2 .

It is not an unprimeable number, because it can be changed into a prime (136673851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2578726 + ... + 2578778.

It is an arithmetic number, because the mean of its divisors is an integer number (1788033).

Almost surely, 2136673856 is an apocalyptic number.

136673856 is a gapful number since it is divisible by the number (16) 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 136673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225292158).

136673856 is an abundant number, since it is smaller than the sum of its proper divisors (313910460).

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

136673856 is a wasteful number, since it uses less digits than its factorization.

136673856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 136673856 is about 11690.7594278558. The cubic root of 136673856 is about 515.1042689560.

The spelling of 136673856 in words is "one hundred thirty-six million, six hundred seventy-three thousand, eight hundred fifty-six".