Search a number
-
+
137308428 = 22323814123
BaseRepresentation
bin10000010111100…
…10100100001100
3100120100222202100
420023302210030
5240122332203
621342555100
73255050055
oct1013624414
9316328670
10137308428
1170563944
1239b98a90
13225a71ba
141434372c
15c0c3ea3
hex82f290c

137308428 has 18 divisors (see below), whose sum is σ = 347085284. Its totient is φ = 45769464.

The previous prime is 137308397. The next prime is 137308433. The reversal of 137308428 is 824803731.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3814123 = 137308428 / (1 + 3 + 7 + 3 + 0 + 8 + 4 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 137308392 and 137308401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1907026 + ... + 1907097.

Almost surely, 2137308428 is an apocalyptic number.

137308428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137308428 is an abundant number, since it is smaller than the sum of its proper divisors (209776856).

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

137308428 is a wasteful number, since it uses less digits than its factorization.

137308428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814133 (or 3814128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 137308428 is about 11717.8678948007. The cubic root of 137308428 is about 515.9002421177.

The spelling of 137308428 in words is "one hundred thirty-seven million, three hundred eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3814123 7628246 11442369 15256492 22884738 34327107 45769476 68654214 137308428