Search a number
-
+
6280380 = 22325233741
BaseRepresentation
bin10111111101010010111100
3102211002001200
4113331102330
53101433010
6342335500
7104245101
oct27752274
912732050
106280380
1135aa5a7
12212a590
1313bb802
14b96aa8
15840cc0
hex5fd4bc

6280380 has 144 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 1520640.

The previous prime is 6280367. The next prime is 6280397. The reversal of 6280380 is 830826.

6280380 is a `hidden beast` number, since 6 + 280 + 380 = 666.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153160 + ... + 153200.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 26280380 is an apocalyptic number.

6280380 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 6280380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

6280380 is an abundant number, since it is smaller than the sum of its proper divisors (14633604).

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

6280380 is a wasteful number, since it uses less digits than its factorization.

6280380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6280380 is about 2506.0686343355. The cubic root of 6280380 is about 184.4995483277.

The spelling of 6280380 in words is "six million, two hundred eighty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 41 45 46 60 69 74 82 90 92 111 115 123 138 148 164 180 185 205 207 222 230 246 276 333 345 369 370 410 414 444 460 492 555 615 666 690 738 740 820 828 851 943 1035 1110 1230 1332 1380 1476 1517 1665 1702 1845 1886 2070 2220 2460 2553 2829 3034 3330 3404 3690 3772 4140 4255 4551 4715 5106 5658 6068 6660 7380 7585 7659 8487 8510 9102 9430 10212 11316 12765 13653 14145 15170 15318 16974 17020 18204 18860 22755 25530 27306 28290 30340 30636 33948 34891 38295 42435 45510 51060 54612 56580 68265 69782 76590 84870 91020 104673 136530 139564 153180 169740 174455 209346 273060 314019 348910 418692 523365 628038 697820 1046730 1256076 1570095 2093460 3140190 6280380