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137030634 = 23213585601
BaseRepresentation
bin10000010101011…
…10101111101010
3100112211212200200
420022232233222
5240034440014
621333013030
73252512136
oct1012565752
9315755620
10137030634
1170394164
1239a84176
132250a920
14142b03c6
15c06ba09
hex82aebea

137030634 has 24 divisors (see below), whose sum is σ = 319738692. Its totient is φ = 42163200.

The previous prime is 137030629. The next prime is 137030653. The reversal of 137030634 is 436030731.

It is a happy number.

137030634 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126630009 + 10400625 = 11253^2 + 3225^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137030598 and 137030607.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292567 + ... + 293034.

Almost surely, 2137030634 is an apocalyptic number.

137030634 is an abundant number, since it is smaller than the sum of its proper divisors (182708058).

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

137030634 is a wasteful number, since it uses less digits than its factorization.

137030634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585622 (or 585619 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 137030634 is about 11706.0084571984. The cubic root of 137030634 is about 515.5520946399.

It can be divided in two parts, 1370306 and 34, that added together give a triangular number (1370340 = T1655).

The spelling of 137030634 in words is "one hundred thirty-seven million, thirty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 585601 1171202 1756803 3513606 5270409 7612813 10540818 15225626 22838439 45676878 68515317 137030634