[go: up one dir, main page]

Search a number
-
+
137000501 = 11173123633
BaseRepresentation
bin10000010101001…
…11011000110101
3100112210100100122
420022213120311
5240033004001
621332221325
73252325241
oct1012473065
9315710318
10137000501
1170373560
1239a6a845
13224c9cb1
14142a3421
15c062b1b
hex82a7635

137000501 has 16 divisors (see below), whose sum is σ = 163358208. Its totient is φ = 113433600.

The previous prime is 137000497. The next prime is 137000509. The reversal of 137000501 is 105000731.

It is a cyclic number.

It is not a de Polignac number, because 137000501 - 22 = 137000497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137000501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137000509) 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 15 ways as a sum of consecutive naturals, for example, 6020 + ... + 17613.

It is an arithmetic number, because the mean of its divisors is an integer number (10209888).

Almost surely, 2137000501 is an apocalyptic number.

137000501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137000501 is a deficient number, since it is larger than the sum of its proper divisors (26357707).

137000501 is a wasteful number, since it uses less digits than its factorization.

137000501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23692.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 137000501 is about 11704.7213123594. The cubic root of 137000501 is about 515.5143019467.

The spelling of 137000501 in words is "one hundred thirty-seven million, five hundred one", and thus it is an aban number.

Divisors: 1 11 17 31 187 341 527 5797 23633 259963 401761 732623 4419371 8058853 12454591 137000501