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135936980 = 2256796849
BaseRepresentation
bin10000001101000…
…11101111010100
3100110210022110222
420012203233110
5234244440410
621253333512
73240305504
oct1006435724
9313708428
10135936980
116a807513
1239637298
1322216baa
14140a7a04
15be02955
hex81a3bd4

135936980 has 12 divisors (see below), whose sum is σ = 285467700. Its totient is φ = 54374784.

The previous prime is 135936979. The next prime is 135936989. The reversal of 135936980 is 89639531.

135936980 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 107910544 + 28026436 = 10388^2 + 5294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135936989) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3398405 + ... + 3398444.

It is an arithmetic number, because the mean of its divisors is an integer number (23788975).

Almost surely, 2135936980 is an apocalyptic number.

135936980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135936980 is an abundant number, since it is smaller than the sum of its proper divisors (149530720).

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

135936980 is a wasteful number, since it uses less digits than its factorization.

135936980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796858 (or 6796856 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 135936980 is about 11659.2015163990. The cubic root of 135936980 is about 514.1768734251.

The spelling of 135936980 in words is "one hundred thirty-five million, nine hundred thirty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 6796849 13593698 27187396 33984245 67968490 135936980