Search a number
-
+
137044710 = 2365111709
BaseRepresentation
bin10000010101100…
…10001011100110
3100112212121000000
420022302023212
5240040412320
621333202130
73252601155
oct1012621346
9315777000
10137044710
11703a37a0
1239a90346
132251415a
14142b559c
15c070c90
hex82b22e6

137044710 has 112 divisors (see below), whose sum is σ = 403710480. Its totient is φ = 33203520.

The previous prime is 137044679. The next prime is 137044723. The reversal of 137044710 is 17440731.

It is a super-3 number, since 3×1370447103 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 79336 + ... + 81044.

Almost surely, 2137044710 is an apocalyptic number.

137044710 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 137044710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201855240).

137044710 is an abundant number, since it is smaller than the sum of its proper divisors (266665770).

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

137044710 is a wasteful number, since it uses less digits than its factorization.

137044710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137044710 is about 11706.6096714634. The cubic root of 137044710 is about 515.5697468067.

The spelling of 137044710 in words is "one hundred thirty-seven million, forty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1709 1782 2430 2673 2970 3418 3645 4455 5127 5346 7290 8019 8545 8910 10254 13365 15381 16038 17090 18799 25635 26730 30762 37598 40095 46143 51270 56397 76905 80190 92286 93995 112794 138429 153810 169191 187990 230715 276858 281985 338382 415287 461430 507573 563970 692145 830574 845955 1015146 1245861 1384290 1522719 1691910 2076435 2491722 2537865 3045438 4152870 4568157 5075730 6229305 7613595 9136314 12458610 13704471 15227190 22840785 27408942 45681570 68522355 137044710