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137406893 = 1310569761
BaseRepresentation
bin10000011000010…
…10100110101101
3100120112222211012
420030022212231
5240134010033
621345035005
73255640121
oct1014124655
9316488735
10137406893
1170620918
123a025a65
132260cc70
141436b581
15c0e3248
hex830a9ad

137406893 has 4 divisors (see below), whose sum is σ = 147976668. Its totient is φ = 126837120.

The previous prime is 137406889. The next prime is 137406923. The reversal of 137406893 is 398604731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 398604731 = 756943533.

It can be written as a sum of positive squares in 2 ways, for example, as 86527204 + 50879689 = 9302^2 + 7133^2 .

It is a cyclic number.

It is not a de Polignac number, because 137406893 - 22 = 137406889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137406893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137406823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5284868 + ... + 5284893.

It is an arithmetic number, because the mean of its divisors is an integer number (36994167).

Almost surely, 2137406893 is an apocalyptic number.

137406893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137406893 is a deficient number, since it is larger than the sum of its proper divisors (10569775).

137406893 is a wasteful number, since it uses less digits than its factorization.

137406893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10569774.

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 137406893 is about 11722.0686314319. The cubic root of 137406893 is about 516.0235314169.

The spelling of 137406893 in words is "one hundred thirty-seven million, four hundred six thousand, eight hundred ninety-three".

Divisors: 1 13 10569761 137406893