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137906420 = 22516194259
BaseRepresentation
bin10000011100001…
…00100011110100
3100121111101001012
420032010203310
5240301001140
621403451352
73263120351
oct1016044364
9317441035
10137906420
1170932153
123a226b58
1322756442
141445b628
15c191265
hex83848f4

137906420 has 24 divisors (see below), whose sum is σ = 289850400. Its totient is φ = 55115552.

The previous prime is 137906387. The next prime is 137906471. The reversal of 137906420 is 24609731.

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 7 ways as a sum of consecutive naturals, for example, 30251 + ... + 34509.

It is an arithmetic number, because the mean of its divisors is an integer number (12077100).

Almost surely, 2137906420 is an apocalyptic number.

137906420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137906420 is an abundant number, since it is smaller than the sum of its proper divisors (151943980).

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

137906420 is a wasteful number, since it uses less digits than its factorization.

137906420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 137906420 is about 11743.3564196954. The cubic root of 137906420 is about 516.6480899784.

The spelling of 137906420 in words is "one hundred thirty-seven million, nine hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1619 3238 4259 6476 8095 8518 16190 17036 21295 32380 42590 85180 6895321 13790642 27581284 34476605 68953210 137906420