Search a number
-
+
137047380 = 223519239503
BaseRepresentation
bin10000010101100…
…10110101010100
3100112212201122220
420022302311110
5240041004010
621333222340
73252612021
oct1012626524
9315781586
10137047380
11703a57a8
1239a919b0
1322515432
14142b6548
15c071970
hex82b2d54

137047380 has 96 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 34409088.

The previous prime is 137047367. The next prime is 137047397. The reversal of 137047380 is 83740731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272209 + ... + 272711.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2137047380 is an apocalyptic number.

137047380 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 137047380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

137047380 is an abundant number, since it is smaller than the sum of its proper divisors (269378220).

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

137047380 is a wasteful number, since it uses less digits than its factorization.

137047380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 137047380 is about 11706.7237090486. The cubic root of 137047380 is about 515.5730950140.

The spelling of 137047380 in words is "one hundred thirty-seven million, forty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 239 285 380 478 503 570 717 956 1006 1140 1195 1434 1509 2012 2390 2515 2868 3018 3585 4541 4780 5030 6036 7170 7545 9082 9557 10060 13623 14340 15090 18164 19114 22705 27246 28671 30180 38228 45410 47785 54492 57342 68115 90820 95570 114684 120217 136230 143355 191140 240434 272460 286710 360651 480868 573420 601085 721302 1202170 1442604 1803255 2284123 2404340 3606510 4568246 6852369 7213020 9136492 11420615 13704738 22841230 27409476 34261845 45682460 68523690 137047380