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20437728 = 253434951
BaseRepresentation
bin100110111110…
…1101011100000
31102110100021220
41031331223200
520213001403
62010015040
7335501133
oct115755340
942410256
1020437728
111059a193
126a17480
13430773c
142a0021a
151bda953
hex137dae0

20437728 has 48 divisors (see below), whose sum is σ = 54907776. Its totient is φ = 6652800.

The previous prime is 20437717. The next prime is 20437733. The reversal of 20437728 is 82773402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1653 + ... + 6603.

It is an arithmetic number, because the mean of its divisors is an integer number (1143912).

Almost surely, 220437728 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 20437728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27453888).

20437728 is an abundant number, since it is smaller than the sum of its proper divisors (34470048).

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

20437728 is a wasteful number, since it uses less digits than its factorization.

20437728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 20437728 is about 4520.8105467936. The cubic root of 20437728 is about 273.4077819545.

The spelling of 20437728 in words is "twenty million, four hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 4951 9902 14853 19804 29706 39608 59412 79216 118824 158432 212893 237648 425786 475296 638679 851572 1277358 1703144 2554716 3406288 5109432 6812576 10218864 20437728