Search a number
-
+
6275880 = 2334513149
BaseRepresentation
bin10111111100001100101000
3102210211220000
4113330030220
53101312010
6342303000
7104226012
oct27741450
912724800
106275880
1135a7186
122127a60
1313b9750
14b951b2
1583e7c0
hex5fc328

6275880 has 160 divisors (see below), whose sum is σ = 22869000. Its totient is φ = 1534464.

The previous prime is 6275827. The next prime is 6275887. The reversal of 6275880 is 885726.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 3709476 = 1602^2 + 1926^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6275887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42046 + ... + 42194.

Almost surely, 26275880 is an apocalyptic number.

6275880 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 6275880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11434500).

6275880 is an abundant number, since it is smaller than the sum of its proper divisors (16593120).

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

6275880 is a wasteful number, since it uses less digits than its factorization.

6275880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6275880 is about 2505.1706528698. The cubic root of 6275880 is about 184.4554721019.

The spelling of 6275880 in words is "six million, two hundred seventy-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 149 156 162 180 195 216 234 260 270 298 312 324 351 360 390 405 447 468 520 540 585 596 648 702 745 780 810 894 936 1053 1080 1170 1192 1341 1404 1490 1560 1620 1755 1788 1937 2106 2235 2340 2682 2808 2980 3240 3510 3576 3874 4023 4212 4470 4680 5265 5364 5811 5960 6705 7020 7748 8046 8424 8940 9685 10530 10728 11622 12069 13410 14040 15496 16092 17433 17880 19370 20115 21060 23244 24138 26820 29055 32184 34866 38740 40230 42120 46488 48276 52299 53640 58110 60345 69732 77480 80460 87165 96552 104598 116220 120690 139464 156897 160920 174330 209196 232440 241380 261495 313794 348660 418392 482760 522990 627588 697320 784485 1045980 1255176 1568970 2091960 3137940 6275880