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136420880 = 2451739857
BaseRepresentation
bin10000010000110…
…01111000010000
3100111200220021012
420020121320100
5234410432010
621311550052
73244362341
oct1010317020
9314626235
10136420880
1170008032
123982b328
132235621b
14141920c8
15be9b005
hex8219e10

136420880 has 40 divisors (see below), whose sum is σ = 319044312. Its totient is φ = 54247424.

The previous prime is 136420859. The next prime is 136420883. The reversal of 136420880 is 88024631.

It can be written as a sum of positive squares in 4 ways, for example, as 30824704 + 105596176 = 5552^2 + 10276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1364208802 = 37221312999948800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136420883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8912 + ... + 18768.

Almost surely, 2136420880 is an apocalyptic number.

136420880 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 136420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159522156).

136420880 is an abundant number, since it is smaller than the sum of its proper divisors (182623432).

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

136420880 is a wasteful number, since it uses less digits than its factorization.

136420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 136420880 is about 11679.9349313256. The cubic root of 136420880 is about 514.7862625173.

The spelling of 136420880 in words is "one hundred thirty-six million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 9857 13840 19714 39428 49285 78856 98570 157712 197140 394280 788560 1705261 3410522 6821044 8526305 13642088 17052610 27284176 34105220 68210440 136420880