Search a number
-
+
137104650 = 2345297349
BaseRepresentation
bin10000010110000…
…00110100001010
3100112222122020000
420023000310022
5240044322100
621334343430
73253241004
oct1013006412
9315878200
10137104650
1170434831
1239abab76
1322535517
14142cd374
15c083900
hex82c0d0a

137104650 has 120 divisors (see below), whose sum is σ = 385977900. Its totient is φ = 36080640.

The previous prime is 137104603. The next prime is 137104673. The reversal of 137104650 is 56401731.

137104650 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 0 + 4 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 62299449 + 74805201 = 7893^2 + 8649^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 392676 + ... + 393024.

Almost surely, 2137104650 is an apocalyptic number.

137104650 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 137104650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192988950).

137104650 is an abundant number, since it is smaller than the sum of its proper divisors (248873250).

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

137104650 is a wasteful number, since it uses less digits than its factorization.

137104650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137104650 is about 11709.1694837849. The cubic root of 137104650 is about 515.6449017112.

The spelling of 137104650 in words is "one hundred thirty-seven million, one hundred four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 97 135 150 162 194 225 270 291 349 405 450 485 582 675 698 810 873 970 1047 1350 1455 1745 1746 2025 2094 2425 2619 2910 3141 3490 4050 4365 4850 5235 5238 6282 7275 7857 8725 8730 9423 10470 13095 14550 15705 15714 17450 18846 21825 26175 26190 28269 31410 33853 39285 43650 47115 52350 56538 65475 67706 78525 78570 94230 101559 130950 141345 157050 169265 196425 203118 235575 282690 304677 338530 392850 471150 507795 609354 706725 846325 914031 1015590 1413450 1523385 1692650 1828062 2538975 2742093 3046770 4570155 5077950 5484186 7616925 9140310 13710465 15233850 22850775 27420930 45701550 68552325 137104650