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135368980 = 2256768449
BaseRepresentation
bin10000001000110…
…01000100010100
3100102201110022221
420010121010110
5234123301410
621233232124
73232421515
oct1004310424
9312643287
10135368980
116a45979a
1239402644
13220784b6
1413d9aa0c
15bd3e4da
hex8119114

135368980 has 12 divisors (see below), whose sum is σ = 284274900. Its totient is φ = 54147584.

The previous prime is 135368927. The next prime is 135368983. The reversal of 135368980 is 89863531.

135368980 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 67174416 + 68194564 = 8196^2 + 8258^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135368983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3384205 + ... + 3384244.

It is an arithmetic number, because the mean of its divisors is an integer number (23689575).

Almost surely, 2135368980 is an apocalyptic number.

135368980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135368980 is an abundant number, since it is smaller than the sum of its proper divisors (148905920).

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

135368980 is a wasteful number, since it uses less digits than its factorization.

135368980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768458 (or 6768456 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 135368980 is about 11634.8175748483. The cubic root of 135368980 is about 513.4597269397.

The spelling of 135368980 in words is "one hundred thirty-five million, three hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 6768449 13536898 27073796 33842245 67684490 135368980