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137020734 = 2341635189
BaseRepresentation
bin10000010101011…
…00010100111110
3100112211101010000
420022230110332
5240034130414
621332455130
73252441234
oct1012542476
9315741100
10137020734
1170387784
1239a7a4a6
1322506276
14142aa954
15c068b09
hex82ac53e

137020734 has 40 divisors (see below), whose sum is σ = 308971080. Its totient is φ = 45384624.

The previous prime is 137020733. The next prime is 137020753. The reversal of 137020734 is 437020731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137020698 and 137020707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137020733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23812 + ... + 29000.

It is an arithmetic number, because the mean of its divisors is an integer number (7724277).

Almost surely, 2137020734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137020734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154485540).

137020734 is an abundant number, since it is smaller than the sum of its proper divisors (171950346).

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

137020734 is a wasteful number, since it uses less digits than its factorization.

137020734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137020734 is about 11705.5855897943. The cubic root of 137020734 is about 515.5396787090.

The spelling of 137020734 in words is "one hundred thirty-seven million, twenty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 326 489 978 1467 2934 4401 5189 8802 10378 13203 15567 26406 31134 46701 93402 140103 280206 420309 840618 845807 1691614 2537421 5074842 7612263 15224526 22836789 45673578 68510367 137020734