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137048420 = 2256852421
BaseRepresentation
bin10000010101100…
…11000101100100
3100112212210002102
420022303011210
5240041022140
621333231232
73252615035
oct1012630544
9315783072
10137048420
11703a6563
1239a92518
1322515a52
14142b6a8c
15c071e15
hex82b3164

137048420 has 12 divisors (see below), whose sum is σ = 287801724. Its totient is φ = 54819360.

The previous prime is 137048399. The next prime is 137048423. The reversal of 137048420 is 24840731.

137048420 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 43771456 + 93276964 = 6616^2 + 9658^2 .

It is not an unprimeable number, because it can be changed into a prime (137048423) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3426191 + ... + 3426230.

It is an arithmetic number, because the mean of its divisors is an integer number (23983477).

Almost surely, 2137048420 is an apocalyptic number.

137048420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137048420 is an abundant number, since it is smaller than the sum of its proper divisors (150753304).

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

137048420 is a wasteful number, since it uses less digits than its factorization.

137048420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852430 (or 6852428 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 137048420 is about 11706.7681278823. The cubic root of 137048420 is about 515.5743991728.

The spelling of 137048420 in words is "one hundred thirty-seven million, forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6852421 13704842 27409684 34262105 68524210 137048420