Search a number
-
+
137026344 = 23372138963
BaseRepresentation
bin10000010101011…
…01101100101000
3100112211122210210
420022231230220
5240034320334
621332541120
73252463500
oct1012555450
9315748723
10137026344
1170390a14
1239a817a0
13225089a0
14142aca00
15c06a5e9
hex82adb28

137026344 has 96 divisors (see below), whose sum is σ = 429196320. Its totient is φ = 36134784.

The previous prime is 137026343. The next prime is 137026349. The reversal of 137026344 is 443620731.

It is not an unprimeable number, because it can be changed into a prime (137026343) 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, 10807 + ... + 19769.

It is an arithmetic number, because the mean of its divisors is an integer number (4470795).

Almost surely, 2137026344 is an apocalyptic number.

137026344 is a gapful number since it is divisible by the number (14) 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 137026344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214598160).

137026344 is an abundant number, since it is smaller than the sum of its proper divisors (292169976).

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

137026344 is a wasteful number, since it uses less digits than its factorization.

137026344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8999 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 137026344 is about 11705.8252165322. The cubic root of 137026344 is about 515.5467144766.

The spelling of 137026344 in words is "one hundred thirty-seven million, twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 8963 15288 17926 26889 35852 53778 62741 71704 107556 116519 125482 188223 215112 233038 250964 349557 376446 439187 466076 501928 699114 752892 815633 878374 932152 1317561 1398228 1505784 1631266 1756748 2446899 2635122 2796456 3262532 3513496 4893798 5270244 5709431 6525064 9787596 10540488 11418862 17128293 19575192 22837724 34256586 45675448 68513172 137026344