Search a number
-
+
6224640 = 28351621
BaseRepresentation
bin10111101111101100000000
3102201020121020
4113233230000
53043142030
6341225440
7103623432
oct27575400
912636536
106224640
113571734
122102280
13139c326
14b80652
1582e510
hex5efb00

6224640 has 72 divisors (see below), whose sum is σ = 19892208. Its totient is φ = 1658880.

The previous prime is 6224639. The next prime is 6224653. The reversal of 6224640 is 464226.

It is a super-2 number, since 2×62246402 = 77492286259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6224640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3030 + ... + 4650.

Almost surely, 26224640 is an apocalyptic number.

6224640 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 6224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946104).

6224640 is an abundant number, since it is smaller than the sum of its proper divisors (13667568).

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

6224640 is a wasteful number, since it uses less digits than its factorization.

6224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6224640 is about 2494.9228444984. The cubic root of 6224640 is about 183.9520984317.

Adding to 6224640 its reverse (464226), we get a palindrome (6688866).

The spelling of 6224640 in words is "six million, two hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1621 1920 3242 3840 4863 6484 8105 9726 12968 16210 19452 24315 25936 32420 38904 48630 51872 64840 77808 97260 103744 129680 155616 194520 207488 259360 311232 389040 414976 518720 622464 778080 1037440 1244928 1556160 2074880 3112320 6224640