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137821420 = 22511256951
BaseRepresentation
bin10000011011011…
…11110011101100
3100121100001110001
420031233303230
5240240241140
621401554044
73262314502
oct1015576354
9317301401
10137821420
1170884300
123a1a5924
1322726849
1414438672
15c175e9a
hex836fcec

137821420 has 36 divisors (see below), whose sum is σ = 318133872. Its totient is φ = 50116000.

The previous prime is 137821391. The next prime is 137821423. The reversal of 137821420 is 24128731.

It is not an unprimeable number, because it can be changed into a prime (137821423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26056 + ... + 30895.

It is an arithmetic number, because the mean of its divisors is an integer number (8837052).

Almost surely, 2137821420 is an apocalyptic number.

137821420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137821420 is an abundant number, since it is smaller than the sum of its proper divisors (180312452).

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

137821420 is a wasteful number, since it uses less digits than its factorization.

137821420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56982 (or 56969 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 137821420 is about 11739.7367943238. The cubic root of 137821420 is about 516.5419210917.

The spelling of 137821420 in words is "one hundred thirty-seven million, eight hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 56951 113902 227804 284755 569510 626461 1139020 1252922 2505844 3132305 6264610 6891071 12529220 13782142 27564284 34455355 68910710 137821420