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137380593 = 3737176809
BaseRepresentation
bin10000011000001…
…00001011110001
3100120111122202010
420030010023301
5240132134333
621344313133
73255500340
oct1014041361
9316448663
10137380593
1170603089
123a0127a9
1322600cbc
1414361b57
15c0da563
hex83042f1

137380593 has 16 divisors (see below), whose sum is σ = 215000960. Its totient is φ = 76381056.

The previous prime is 137380591. The next prime is 137380597. The reversal of 137380593 is 395083731.

It is not a de Polignac number, because 137380593 - 21 = 137380591 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137380591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87628 + ... + 89181.

It is an arithmetic number, because the mean of its divisors is an integer number (13437560).

Almost surely, 2137380593 is an apocalyptic number.

It is an amenable number.

137380593 is a deficient number, since it is larger than the sum of its proper divisors (77620367).

137380593 is a wasteful number, since it uses less digits than its factorization.

137380593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176856.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 137380593 is about 11720.9467621007. The cubic root of 137380593 is about 515.9906066134.

The spelling of 137380593 in words is "one hundred thirty-seven million, three hundred eighty thousand, five hundred ninety-three".

Divisors: 1 3 7 21 37 111 259 777 176809 530427 1237663 3712989 6541933 19625799 45793531 137380593