[go: up one dir, main page]

Search a number
-
+
6337980 = 2233511297
BaseRepresentation
bin11000001011010110111100
3102221000002000
4120023112330
53110303410
6343502300
7104605035
oct30132674
912830060
106337980
113639900
122157990
13140baac
14bada8c
15852dc0
hex60b5bc

6337980 has 144 divisors (see below), whose sum is σ = 21897120. Its totient is φ = 1520640.

The previous prime is 6337967. The next prime is 6337987. The reversal of 6337980 is 897336.

6337980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6337987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65292 + ... + 65388.

Almost surely, 26337980 is an apocalyptic number.

6337980 is a gapful number since it is divisible by the number (60) 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 6337980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948560).

6337980 is an abundant number, since it is smaller than the sum of its proper divisors (15559140).

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

6337980 is a wasteful number, since it uses less digits than its factorization.

6337980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6337980 is about 2517.5345082044. The cubic root of 6337980 is about 185.0618736307.

The spelling of 6337980 in words is "six million, three hundred thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 97 99 108 110 121 132 135 165 180 194 198 220 242 270 291 297 330 363 388 396 484 485 495 540 582 594 605 660 726 873 970 990 1067 1089 1164 1188 1210 1452 1455 1485 1746 1815 1940 1980 2134 2178 2420 2619 2910 2970 3201 3267 3492 3630 4268 4356 4365 5238 5335 5445 5820 5940 6402 6534 7260 8730 9603 10476 10670 10890 11737 12804 13068 13095 16005 16335 17460 19206 21340 21780 23474 26190 28809 32010 32670 35211 38412 46948 48015 52380 57618 58685 64020 65340 70422 96030 105633 115236 117370 140844 144045 176055 192060 211266 234740 288090 316899 352110 422532 528165 576180 633798 704220 1056330 1267596 1584495 2112660 3168990 6337980