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20507872 = 2572112941
BaseRepresentation
bin100111000111…
…0110011100000
31102120220111211
41032032303200
520222222442
62011315504
7336212500
oct116166340
942526454
1020507872
1110637960
126a4bb94
134330648
142a1ba00
151c01617
hex138ece0

20507872 has 144 divisors (see below), whose sum is σ = 54295920. Its totient is φ = 7526400.

The previous prime is 20507867. The next prime is 20507891. The reversal of 20507872 is 27870502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500172 + ... + 500212.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 220507872 is an apocalyptic number.

20507872 is a gapful number since it is divisible by the number (22) 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 20507872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147960).

20507872 is an abundant number, since it is smaller than the sum of its proper divisors (33788048).

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

20507872 is a wasteful number, since it uses less digits than its factorization.

20507872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 20507872 is about 4528.5618026036. The cubic root of 20507872 is about 273.7202109603.

The spelling of 20507872 in words is "twenty million, five hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 41 44 49 56 58 77 82 88 98 112 116 154 164 176 196 203 224 232 287 308 319 328 352 392 406 451 464 539 574 616 638 656 784 812 902 928 1078 1148 1189 1232 1276 1312 1421 1568 1624 1804 2009 2156 2233 2296 2378 2464 2552 2842 3157 3248 3608 4018 4312 4466 4592 4756 5104 5684 6314 6496 7216 8036 8323 8624 8932 9184 9512 10208 11368 12628 13079 14432 15631 16072 16646 17248 17864 19024 22099 22736 25256 26158 31262 32144 33292 35728 38048 44198 45472 50512 52316 58261 62524 64288 66584 71456 88396 91553 101024 104632 116522 125048 133168 176792 183106 209264 233044 250096 266336 353584 366212 418528 466088 500192 640871 707168 732424 932176 1281742 1464848 1864352 2563484 2929696 5126968 10253936 20507872