Search a number
-
+
137948180 = 2256897409
BaseRepresentation
bin10000011100011…
…10110000010100
3100121120111022212
420032032300110
5240303320210
621404412552
73263353166
oct1016166024
9317514285
10137948180
1170960567
123a247158
132276c456
141446c936
15c19d805
hex838ec14

137948180 has 12 divisors (see below), whose sum is σ = 289691220. Its totient is φ = 55179264.

The previous prime is 137948147. The next prime is 137948201. The reversal of 137948180 is 81849731.

It can be written as a sum of positive squares in 2 ways, for example, as 33131536 + 104816644 = 5756^2 + 10238^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3448685 + ... + 3448724.

It is an arithmetic number, because the mean of its divisors is an integer number (24140935).

Almost surely, 2137948180 is an apocalyptic number.

137948180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137948180 is an abundant number, since it is smaller than the sum of its proper divisors (151743040).

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

137948180 is a wasteful number, since it uses less digits than its factorization.

137948180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897418 (or 6897416 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 137948180 is about 11745.1343117054. The cubic root of 137948180 is about 516.7002341470.

The spelling of 137948180 in words is "one hundred thirty-seven million, nine hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 6897409 13794818 27589636 34487045 68974090 137948180