Search a number
-
+
137821944 = 23313441737
BaseRepresentation
bin10000011011011…
…11111011111000
3100121100002011110
420031233323320
5240240300234
621402000320
73262316151
oct1015577370
9317302143
10137821944
1170884737
123a1a60a0
1322726b60
1414438928
15c1761e9
hex836fef8

137821944 has 32 divisors (see below), whose sum is σ = 371059920. Its totient is φ = 42406656.

The previous prime is 137821933. The next prime is 137821961. The reversal of 137821944 is 449128731.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220557 + ... + 221180.

Almost surely, 2137821944 is an apocalyptic number.

It is an amenable number.

137821944 is an abundant number, since it is smaller than the sum of its proper divisors (233237976).

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

137821944 is a wasteful number, since it uses less digits than its factorization.

137821944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441759 (or 441755 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 137821944 is about 11739.7591116683. The cubic root of 137821944 is about 516.5425757254.

The spelling of 137821944 in words is "one hundred thirty-seven million, eight hundred twenty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 441737 883474 1325211 1766948 2650422 3533896 5300844 5742581 10601688 11485162 17227743 22970324 34455486 45940648 68910972 137821944