Search a number
-
+
6225960 = 2335132307
BaseRepresentation
bin10111110000000000101000
3102201022102010
4113300000220
53043212320
6341235520
7103630326
oct27600050
912638363
106225960
113572724
122102ba0
13139cb00
14b80d16
1582eae0
hex5f0028

6225960 has 96 divisors (see below), whose sum is σ = 20291040. Its totient is φ = 1527552.

The previous prime is 6225941. The next prime is 6225979. The reversal of 6225960 is 695226.

It is an interprime number because it is at equal distance from previous prime (6225941) and next prime (6225979).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20127 + ... + 20433.

It is an arithmetic number, because the mean of its divisors is an integer number (211365).

Almost surely, 26225960 is an apocalyptic number.

6225960 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 6225960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10145520).

6225960 is an abundant number, since it is smaller than the sum of its proper divisors (14065080).

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

6225960 is a wasteful number, since it uses less digits than its factorization.

6225960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6225960 is about 2495.1873677141. The cubic root of 6225960 is about 183.9651005013.

The spelling of 6225960 in words is "six million, two hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 307 312 338 390 507 520 614 676 780 845 921 1014 1228 1352 1535 1560 1690 1842 2028 2456 2535 3070 3380 3684 3991 4056 4605 5070 6140 6760 7368 7982 9210 10140 11973 12280 15964 18420 19955 20280 23946 31928 36840 39910 47892 51883 59865 79820 95784 103766 119730 155649 159640 207532 239460 259415 311298 415064 478920 518830 622596 778245 1037660 1245192 1556490 2075320 3112980 6225960