Search a number
-
+
137395510 = 257341977
BaseRepresentation
bin10000011000001…
…11110100110110
3100120112102012121
420030013310312
5240133124020
621344510154
73255562000
oct1014076466
9316472177
10137395510
117061330a
123a01b35a
1322607a25
1414367370
15c0debaa
hex8307d36

137395510 has 64 divisors (see below), whose sum is σ = 295747200. Its totient is φ = 45911040.

The previous prime is 137395499. The next prime is 137395543. The reversal of 137395510 is 15593731.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 140142 + ... + 141118.

It is an arithmetic number, because the mean of its divisors is an integer number (4621050).

Almost surely, 2137395510 is an apocalyptic number.

137395510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137395510 is an abundant number, since it is smaller than the sum of its proper divisors (158351690).

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

137395510 is an equidigital number, since it uses as much as digits as its factorization.

137395510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 34.

The square root of 137395510 is about 11721.5830842084. The cubic root of 137395510 is about 516.0092816270.

The spelling of 137395510 in words is "one hundred thirty-seven million, three hundred ninety-five thousand, five hundred ten".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 343 410 490 574 686 977 1435 1715 1954 2009 2870 3430 4018 4885 6839 9770 10045 13678 14063 20090 28126 34195 40057 47873 68390 70315 80114 95746 140630 200285 239365 280399 335111 400570 478730 560798 670222 1401995 1675555 1962793 2803990 3351110 3925586 9813965 13739551 19627930 27479102 68697755 137395510