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137060670 = 23529257613
BaseRepresentation
bin10000010101101…
…10000100111110
3100112220101220010
420022312010332
5240041420140
621333404050
73252665535
oct1012660476
9315811803
10137060670
117040478a
1239a99626
132251b4b6
14142bb31c
15c075880
hex82b613e

137060670 has 64 divisors (see below), whose sum is σ = 342169920. Its totient is φ = 35094528.

The previous prime is 137060593. The next prime is 137060701. The reversal of 137060670 is 76060731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 223284 + ... + 223896.

It is an arithmetic number, because the mean of its divisors is an integer number (5346405).

Almost surely, 2137060670 is an apocalyptic number.

137060670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137060670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171084960).

137060670 is an abundant number, since it is smaller than the sum of its proper divisors (205109250).

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

137060670 is a wasteful number, since it uses less digits than its factorization.

137060670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 137060670 is about 11707.2913178070. The cubic root of 137060670 is about 515.5897601628.

The spelling of 137060670 in words is "one hundred thirty-seven million, sixty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 257 290 435 514 613 771 870 1226 1285 1542 1839 2570 3065 3678 3855 6130 7453 7710 9195 14906 17777 18390 22359 35554 37265 44718 53331 74530 88885 106662 111795 157541 177770 223590 266655 315082 472623 533310 787705 945246 1575410 2363115 4568689 4726230 9137378 13706067 22843445 27412134 45686890 68530335 137060670