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137217270 = 23529157721
BaseRepresentation
bin10000010110111…
…00010011110110
3100120012100201010
420023130103312
5240111423040
621341013050
73254220231
oct1013342366
9316170633
10137217270
1170501403
1239b54186
1322574868
141431c418
15c0a6e80
hex82dc4f6

137217270 has 32 divisors (see below), whose sum is σ = 340679520. Its totient is φ = 35329280.

The previous prime is 137217247. The next prime is 137217271. The reversal of 137217270 is 72712731.

137217270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1372172703 (a number of 25 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137217271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77991 + ... + 79730.

It is an arithmetic number, because the mean of its divisors is an integer number (10646235).

Almost surely, 2137217270 is an apocalyptic number.

137217270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137217270 is an abundant number, since it is smaller than the sum of its proper divisors (203462250).

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

137217270 is a wasteful number, since it uses less digits than its factorization.

137217270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157760.

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 137217270 is about 11713.9775482114. The cubic root of 137217270 is about 515.7860494541.

The spelling of 137217270 in words is "one hundred thirty-seven million, two hundred seventeen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 157721 315442 473163 788605 946326 1577210 2365815 4573909 4731630 9147818 13721727 22869545 27443454 45739090 68608635 137217270