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137948820 = 22352299147
BaseRepresentation
bin10000011100011…
…10111010010100
3100121120112012120
420032032322110
5240303330240
621404415540
73263355102
oct1016167224
9317515176
10137948820
1170960a99
123a2475b0
132276c829
141446cc72
15c19dad0
hex838ee94

137948820 has 24 divisors (see below), whose sum is σ = 386256864. Its totient is φ = 36786336.

The previous prime is 137948813. The next prime is 137948821. The reversal of 137948820 is 28849731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137948821) 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 7 ways as a sum of consecutive naturals, for example, 1149514 + ... + 1149633.

It is an arithmetic number, because the mean of its divisors is an integer number (16094036).

Almost surely, 2137948820 is an apocalyptic number.

137948820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137948820 is an abundant number, since it is smaller than the sum of its proper divisors (248308044).

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

137948820 is a wasteful number, since it uses less digits than its factorization.

137948820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299159 (or 2299157 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 137948820 is about 11745.1615569987. The cubic root of 137948820 is about 516.7010332095.

The spelling of 137948820 in words is "one hundred thirty-seven million, nine hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2299147 4598294 6897441 9196588 11495735 13794882 22991470 27589764 34487205 45982940 68974410 137948820