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20504232 = 2333771191
BaseRepresentation
bin100111000110…
…1111010101000
31102120201112000
41032031322220
520222113412
62011251000
7336166050
oct116157250
942521460
1020504232
1110635151
126a49a60
13432baa8
142a1a560
151c004dc
hex138dea8

20504232 has 128 divisors (see below), whose sum is σ = 66355200. Its totient is φ = 5745600.

The previous prime is 20504221. The next prime is 20504353. The reversal of 20504232 is 23240502.

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

It is an unprimeable number.

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, 107257 + ... + 107447.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 220504232 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 20504232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33177600).

20504232 is an abundant number, since it is smaller than the sum of its proper divisors (45850968).

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

20504232 is a wasteful number, since it uses less digits than its factorization.

20504232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20504232 is about 4528.1598911699. The cubic root of 20504232 is about 273.7040155449.

Adding to 20504232 its reverse (23240502), we get a palindrome (43744734).

It can be divided in two parts, 20504 and 232, that added together give a 4-th power (20736 = 124).

The spelling of 20504232 in words is "twenty million, five hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 126 142 168 189 191 213 216 252 284 378 382 426 497 504 568 573 639 756 764 852 994 1146 1278 1337 1491 1512 1528 1704 1719 1917 1988 2292 2556 2674 2982 3438 3834 3976 4011 4473 4584 5112 5157 5348 5964 6876 7668 8022 8946 10314 10696 11928 12033 13419 13561 13752 15336 16044 17892 20628 24066 26838 27122 32088 35784 36099 40683 41256 48132 53676 54244 72198 81366 94927 96264 107352 108488 122049 144396 162732 189854 244098 284781 288792 325464 366147 379708 488196 569562 732294 759416 854343 976392 1139124 1464588 1708686 2278248 2563029 2929176 3417372 5126058 6834744 10252116 20504232