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137702890 = 25132174793
BaseRepresentation
bin10000011010100…
…10110111101010
3100121010000212001
420031102313222
5240222443030
621355241214
73261312103
oct1015226752
9317100761
10137702890
1170803246
123a14920a
13226b4900
14144073aa
15c150cca
hex8352dea

137702890 has 48 divisors (see below), whose sum is σ = 284245848. Its totient is φ = 47843328.

The previous prime is 137702857. The next prime is 137702891. The reversal of 137702890 is 98207731.

137702890 is digitally balanced in base 2, 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 12 ways, for example, as 10712529 + 126990361 = 3273^2 + 11269^2 .

It is not an unprimeable number, because it can be changed into a prime (137702891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26334 + ... + 31126.

Almost surely, 2137702890 is an apocalyptic number.

137702890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137702890 is an abundant number, since it is smaller than the sum of its proper divisors (146542958).

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

137702890 is a wasteful number, since it uses less digits than its factorization.

137702890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 137702890 is about 11734.6874692085. The cubic root of 137702890 is about 516.3937987989.

The spelling of 137702890 in words is "one hundred thirty-seven million, seven hundred two thousand, eight hundred ninety".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 169 170 221 338 442 845 1105 1690 2210 2873 4793 5746 9586 14365 23965 28730 47930 62309 81481 124618 162962 311545 407405 623090 810017 814810 1059253 1620034 2118506 4050085 5296265 8100170 10592530 13770289 27540578 68851445 137702890