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6122424 = 2337113313
BaseRepresentation
bin10111010110101110111000
3102112001101110
4113112232320
53031404144
6335120320
7103016430
oct27265670
912461343
106122424
113501960
1220730a0
131364949
14b552c0
1580e0b9
hex5d6bb8

6122424 has 64 divisors (see below), whose sum is σ = 19088640. Its totient is φ = 1589760.

The previous prime is 6122419. The next prime is 6122447. The reversal of 6122424 is 4242216.

It is a super-4 number, since 4×61224244 (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6122424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 3504.

It is an arithmetic number, because the mean of its divisors is an integer number (298260).

Almost surely, 26122424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544320).

6122424 is an abundant number, since it is smaller than the sum of its proper divisors (12966216).

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

6122424 is a wasteful number, since it uses less digits than its factorization.

6122424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3336 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 6122424 is about 2474.3532488309. The cubic root of 6122424 is about 182.9396319139.

The spelling of 6122424 in words is "six million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 3313 6626 9939 13252 19878 23191 26504 36443 39756 46382 69573 72886 79512 92764 109329 139146 145772 185528 218658 255101 278292 291544 437316 510202 556584 765303 874632 1020404 1530606 2040808 3061212 6122424