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20475624 = 23313293173
BaseRepresentation
bin100111000011…
…0111011101000
31102112021021110
41032012323220
520220204444
62010510320
7336016461
oct116067350
942467243
1020475624
1110615704
126a353a0
13431ba70
142a0dd68
151be6cb9
hex1386ee8

20475624 has 128 divisors (see below), whose sum is σ = 59673600. Its totient is φ = 5806080.

The previous prime is 20475613. The next prime is 20475641. The reversal of 20475624 is 42657402.

It is a Cunningham number, because it is equal to 45252-1.

It is a junction number, because it is equal to n+sod(n) for n = 20475591 and 20475600.

It is a congruent number.

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, 280452 + ... + 280524.

It is an arithmetic number, because the mean of its divisors is an integer number (466200).

Almost surely, 220475624 is an apocalyptic number.

20475624 is a gapful number since it is divisible by the number (24) 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 20475624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29836800).

20475624 is an abundant number, since it is smaller than the sum of its proper divisors (39197976).

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

20475624 is a wasteful number, since it uses less digits than its factorization.

20475624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 20475624 is about 4524.9998895028. Note that the first 3 decimals coincide. The cubic root of 20475624 is about 273.5766634793.

The spelling of 20475624 in words is "twenty million, four hundred seventy-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 31 39 52 58 62 73 78 87 93 104 116 124 146 156 174 186 219 232 248 292 312 348 372 377 403 438 584 696 744 754 806 876 899 949 1131 1209 1508 1612 1752 1798 1898 2117 2262 2263 2418 2697 2847 3016 3224 3596 3796 4234 4524 4526 4836 5394 5694 6351 6789 7192 7592 8468 9048 9052 9672 10788 11388 11687 12702 13578 16936 18104 21576 22776 23374 25404 27156 27521 29419 35061 46748 50808 54312 55042 58838 65627 70122 82563 88257 93496 110084 117676 131254 140244 165126 176514 196881 220168 235352 262508 280488 330252 353028 393762 525016 660504 706056 787524 853151 1575048 1706302 2559453 3412604 5118906 6825208 10237812 20475624