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5220072 = 233311133
BaseRepresentation
bin10011111010011011101000
3100211012121000
4103322123220
52314020242
6303515000
762240604
oct23723350
910735530
105220072
112a45a10
1218b8a60
13110a000
1499c504
156d1a4c
hex4fa6e8

5220072 has 128 divisors (see below), whose sum is σ = 17136000. Its totient is φ = 1460160.

The previous prime is 5220053. The next prime is 5220073. The reversal of 5220072 is 2700225.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5220073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401538 + ... + 401550.

It is an arithmetic number, because the mean of its divisors is an integer number (133875).

Almost surely, 25220072 is an apocalyptic number.

5220072 is a gapful number since it is divisible by the number (52) 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 5220072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568000).

5220072 is an abundant number, since it is smaller than the sum of its proper divisors (11915928).

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

5220072 is a wasteful number, since it uses less digits than its factorization.

5220072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5220072 is about 2284.7476884768. The cubic root of 5220072 is about 173.4704470644.

Adding to 5220072 its reverse (2700225), we get a palindrome (7920297).

The spelling of 5220072 in words is "five million, two hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 169 198 216 234 264 286 297 312 338 351 396 429 468 507 572 594 676 702 792 858 936 1014 1144 1188 1287 1352 1404 1521 1716 1859 2028 2197 2376 2574 2808 3042 3432 3718 3861 4056 4394 4563 5148 5577 6084 6591 7436 7722 8788 9126 10296 11154 12168 13182 14872 15444 16731 17576 18252 19773 22308 24167 26364 30888 33462 36504 39546 44616 48334 50193 52728 59319 66924 72501 79092 96668 100386 118638 133848 145002 158184 193336 200772 217503 237276 290004 401544 435006 474552 580008 652509 870012 1305018 1740024 2610036 5220072