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136753940 = 2256837697
BaseRepresentation
bin10000010011010…
…11001100010100
3100112022211010202
420021223030110
5240002111230
621323040032
73250250351
oct1011531424
9315284122
10136753940
1170215294
1239970018
13224419bb
141423b628
15c014a45
hex826b314

136753940 has 12 divisors (see below), whose sum is σ = 287183316. Its totient is φ = 54701568.

The previous prime is 136753919. The next prime is 136753943. The reversal of 136753940 is 49357631.

It is a happy number.

136753940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51782416 + 84971524 = 7196^2 + 9218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 136753894 and 136753903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136753943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3418829 + ... + 3418868.

It is an arithmetic number, because the mean of its divisors is an integer number (23931943).

Almost surely, 2136753940 is an apocalyptic number.

136753940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136753940 is an abundant number, since it is smaller than the sum of its proper divisors (150429376).

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

136753940 is a wasteful number, since it uses less digits than its factorization.

136753940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837706 (or 6837704 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 136753940 is about 11694.1840245483. The cubic root of 136753940 is about 515.2048577031.

The spelling of 136753940 in words is "one hundred thirty-six million, seven hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 6837697 13675394 27350788 34188485 68376970 136753940