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137628426 = 23132636709
BaseRepresentation
bin10000011010000…
…00101100001010
3100120222020201010
420031000230022
5240213102201
621353504350
73260552025
oct1015005412
9316866633
10137628426
1170762301
123a1120b6
1322689a50
14143c81bc
15c138bd6
hex8340b0a

137628426 has 32 divisors (see below), whose sum is σ = 297601920. Its totient is φ = 42179904.

The previous prime is 137628409. The next prime is 137628427. The reversal of 137628426 is 624826731.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137628427) 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, 17160 + ... + 23868.

It is an arithmetic number, because the mean of its divisors is an integer number (9300060).

Almost surely, 2137628426 is an apocalyptic number.

137628426 is an abundant number, since it is smaller than the sum of its proper divisors (159973494).

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

137628426 is a wasteful number, since it uses less digits than its factorization.

137628426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990.

The product of its digits is 96768, while the sum is 39.

The square root of 137628426 is about 11731.5142245151. The cubic root of 137628426 is about 516.3007005806.

The spelling of 137628426 in words is "one hundred thirty-seven million, six hundred twenty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 263 526 789 1578 3419 6709 6838 10257 13418 20127 20514 40254 87217 174434 261651 523302 1764467 3528934 5293401 10586802 22938071 45876142 68814213 137628426