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137430210 = 23517377283
BaseRepresentation
bin10000011000100…
…00010011000010
3100120121011210210
420030100103002
5240140231320
621345334550
73256065111
oct1014202302
9316534723
10137430210
1170637395
123a037456
132261a768
1414375c78
15c0ea0e0
hex83104c2

137430210 has 64 divisors (see below), whose sum is σ = 358722432. Its totient is φ = 33555456.

The previous prime is 137430203. The next prime is 137430239. The reversal of 137430210 is 12034731.

137430210 is nontrivially palindromic in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15229 + ... + 22511.

It is an arithmetic number, because the mean of its divisors is an integer number (5605038).

Almost surely, 2137430210 is an apocalyptic number.

137430210 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 137430210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179361216).

137430210 is an abundant number, since it is smaller than the sum of its proper divisors (221292222).

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

137430210 is a wasteful number, since it uses less digits than its factorization.

137430210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 137430210 is about 11723.0631662548. The cubic root of 137430210 is about 516.0527183082.

Adding to 137430210 its reverse (12034731), we get a palindrome (149464941).

The spelling of 137430210 in words is "one hundred thirty-seven million, four hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 1110 1258 1887 3145 3774 6290 7283 9435 14566 18870 21849 36415 43698 72830 109245 123811 218490 247622 269471 371433 538942 619055 742866 808413 1238110 1347355 1616826 1857165 2694710 3714330 4042065 4581007 8084130 9162014 13743021 22905035 27486042 45810070 68715105 137430210