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137310 = 23523199
BaseRepresentation
bin100001100001011110
320222100120
4201201132
513343220
62535410
71111215
oct414136
9228316
10137310
1194188
1267566
134a664
143807c
152aa40
hex2185e

137310 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 34848.

The previous prime is 137303. The next prime is 137321. The reversal of 137310 is 13731.

It is a super-2 number, since 2×1373102 = 37708072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 137310.

It is a congruent number.

It is an unprimeable number.

137310 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2137310 is an apocalyptic number.

137310 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 137310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

137310 is an abundant number, since it is smaller than the sum of its proper divisors (208290).

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

137310 is a wasteful number, since it uses less digits than its factorization.

137310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 137310 is about 370.5536398418. The cubic root of 137310 is about 51.5902210902.

The spelling of 137310 in words is "one hundred thirty-seven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 199 230 345 398 597 690 995 1194 1990 2985 4577 5970 9154 13731 22885 27462 45770 68655 137310