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137428746 = 23713251701
BaseRepresentation
bin10000011000011…
…11111100001010
3100120121002210120
420030033330022
5240140204441
621345324110
73256060620
oct1014177412
9316532716
10137428746
1170636284
123a036636
1322619bb0
1414375510
15c0e9966
hex830ff0a

137428746 has 32 divisors (see below), whose sum is σ = 338287488. Its totient is φ = 36244800.

The previous prime is 137428741. The next prime is 137428747. The reversal of 137428746 is 647824731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137428698 and 137428707.

It is not an unprimeable number, because it can be changed into a prime (137428741) 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 15 ways as a sum of consecutive naturals, for example, 125305 + ... + 126396.

It is an arithmetic number, because the mean of its divisors is an integer number (10571484).

Almost surely, 2137428746 is an apocalyptic number.

137428746 is an abundant number, since it is smaller than the sum of its proper divisors (200858742).

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

137428746 is a wasteful number, since it uses less digits than its factorization.

137428746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251726.

The product of its digits is 225792, while the sum is 42.

The square root of 137428746 is about 11723.0007250704. Note that the first 3 decimals coincide. The cubic root of 137428746 is about 516.0508858536.

The spelling of 137428746 in words is "one hundred thirty-seven million, four hundred twenty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 251701 503402 755103 1510206 1761907 3272113 3523814 5285721 6544226 9816339 10571442 19632678 22904791 45809582 68714373 137428746