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6013224 = 233374197
BaseRepresentation
bin10110111100000100101000
3102022111121000
4112330010220
53014410344
6332515000
7102053160
oct26740450
912274530
106013224
113437908
12201ba60
131327029
14b275a0
157dba69
hex5bc128

6013224 has 128 divisors (see below), whose sum is σ = 19756800. Its totient is φ = 1658880.

The previous prime is 6013213. The next prime is 6013247. The reversal of 6013224 is 4223106.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6013197 and 6013206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61944 + ... + 62040.

It is an arithmetic number, because the mean of its divisors is an integer number (154350).

Almost surely, 26013224 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 6013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9878400).

6013224 is an abundant number, since it is smaller than the sum of its proper divisors (13743576).

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

6013224 is a wasteful number, since it uses less digits than its factorization.

6013224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6013224 is about 2452.1875947814. The cubic root of 6013224 is about 181.8454591196.

The spelling of 6013224 in words is "six million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 97 108 123 126 164 168 189 194 216 246 252 287 291 328 369 378 388 492 504 574 582 679 738 756 776 861 873 984 1107 1148 1164 1358 1476 1512 1722 1746 2037 2214 2296 2328 2583 2619 2716 2952 3444 3492 3977 4074 4428 5166 5238 5432 6111 6888 6984 7749 7954 8148 8856 10332 10476 11931 12222 15498 15908 16296 18333 20664 20952 23862 24444 27839 30996 31816 35793 36666 47724 48888 55678 61992 71586 73332 83517 95448 107379 111356 143172 146664 167034 214758 222712 250551 286344 334068 429516 501102 668136 751653 859032 1002204 1503306 2004408 3006612 6013224