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137436030 = 232513111657
BaseRepresentation
bin10000011000100…
…01101101111110
3100120121110210100
420030101231332
5240140423110
621345421530
73256121064
oct1014215576
9316543710
10137436030
11706407a6
123a03a8a6
13226202c4
1414378034
15c0ebbc0
hex8311b7e

137436030 has 48 divisors (see below), whose sum is σ = 360092304. Its totient is φ = 36366720.

The previous prime is 137436023. The next prime is 137436031. The reversal of 137436030 is 30634731.

It is a happy number.

137436030 is a `hidden beast` number, since 13 + 7 + 43 + 603 + 0 = 666.

137436030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137435985 and 137436003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137436031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5962 + ... + 17618.

It is an arithmetic number, because the mean of its divisors is an integer number (7501923).

Almost surely, 2137436030 is an apocalyptic number.

137436030 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 137436030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180046152).

137436030 is an abundant number, since it is smaller than the sum of its proper divisors (222656274).

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

137436030 is a wasteful number, since it uses less digits than its factorization.

137436030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11801 (or 11798 counting only the distinct ones).

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

The square root of 137436030 is about 11723.3113922646. The cubic root of 137436030 is about 516.0600029376.

The spelling of 137436030 in words is "one hundred thirty-seven million, four hundred thirty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 11657 11790 23314 34971 58285 69942 104913 116570 174855 209826 349710 524565 1049130 1527067 3054134 4581201 7635335 9162402 13743603 15270670 22906005 27487206 45812010 68718015 137436030