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20425824 = 253347503
BaseRepresentation
bin100110111101…
…0110001100000
31102102201222000
41031322301200
520212111244
62005444000
7335421336
oct115726140
942381860
1020425824
1110591251
126a10600
1343021b3
1429d9b56
151bd7169
hex137ac60

20425824 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 6650496.

The previous prime is 20425799. The next prime is 20425849. The reversal of 20425824 is 42852402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20425799) and next prime (20425849).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40357 + ... + 40859.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 220425824 is an apocalyptic number.

20425824 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 20425824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

20425824 is an abundant number, since it is smaller than the sum of its proper divisors (40538016).

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

20425824 is a wasteful number, since it uses less digits than its factorization.

20425824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20425824 is about 4519.4937769622. The cubic root of 20425824 is about 273.3546893222.

The spelling of 20425824 in words is "twenty million, four hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 503 564 752 846 864 1006 1128 1269 1504 1509 1692 2012 2256 2538 3018 3384 4024 4512 4527 5076 6036 6768 8048 9054 10152 12072 13536 13581 16096 18108 20304 23641 24144 27162 36216 40608 47282 48288 54324 70923 72432 94564 108648 141846 144864 189128 212769 217296 283692 378256 425538 434592 567384 638307 756512 851076 1134768 1276614 1702152 2269536 2553228 3404304 5106456 6808608 10212912 20425824