Search a number
-
+
137431060 = 225131723159
BaseRepresentation
bin10000011000100…
…00100000010100
3100120121012222021
420030100200110
5240140243220
621345342524
73256100434
oct1014204024
9316535867
10137431060
1170637a98
123a037a44
132261ac70
14143762c4
15c0ea4aa
hex8310814

137431060 has 144 divisors (see below), whose sum is σ = 346590720. Its totient is φ = 45434880.

The previous prime is 137431013. The next prime is 137431069. The reversal of 137431060 is 60134731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137431069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2329311 + ... + 2329369.

It is an arithmetic number, because the mean of its divisors is an integer number (2406880).

Almost surely, 2137431060 is an apocalyptic number.

137431060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137431060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173295360).

137431060 is an abundant number, since it is smaller than the sum of its proper divisors (209159660).

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

137431060 is a wasteful number, since it uses less digits than its factorization.

137431060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 137431060 is about 11723.0994195221. The cubic root of 137431060 is about 516.0537822274.

Adding to 137431060 its reverse (60134731), we get a palindrome (197565791).

The spelling of 137431060 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, sixty".

Divisors: 1 2 4 5 10 13 17 20 26 31 34 52 59 62 65 68 85 118 124 130 155 170 221 236 260 289 295 310 340 403 442 527 578 590 620 767 806 884 1003 1054 1105 1156 1180 1445 1534 1612 1829 2006 2015 2108 2210 2635 2890 3068 3658 3757 3835 4012 4030 4420 5015 5270 5780 6851 7316 7514 7670 8060 8959 9145 10030 10540 13039 13702 15028 15340 17051 17918 18290 18785 20060 23777 26078 27404 31093 34102 34255 35836 36580 37570 44795 47554 52156 62186 65195 68204 68510 75140 85255 89590 95108 116467 118885 124372 130390 137020 155465 170510 179180 221663 232934 237770 260780 310930 341020 404209 443326 465868 475540 528581 582335 621860 808418 886652 1057162 1108315 1164670 1616836 2021045 2114324 2216630 2329340 2642905 4042090 4433260 5285810 6871553 8084180 10571620 13743106 27486212 34357765 68715530 137431060