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20029824 = 273217387
BaseRepresentation
bin100110001101…
…0000110000000
31101200121202100
41030122012000
520111423244
61553150400
7332151663
oct114320600
941617670
1020029824
1110340781
12685b400
1341c3b89
1429356da
151b59b69
hex131a180

20029824 has 48 divisors (see below), whose sum is σ = 57641220. Its totient is φ = 6676224.

The previous prime is 20029783. The next prime is 20029831. The reversal of 20029824 is 42892002.

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 5 ways as a sum of consecutive naturals, for example, 7542 + ... + 9845.

Almost surely, 220029824 is an apocalyptic number.

20029824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20029824 is an abundant number, since it is smaller than the sum of its proper divisors (37611396).

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

20029824 is a wasteful number, since it uses less digits than its factorization.

20029824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17407 (or 17392 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20029824 is about 4475.4691374201. The cubic root of 20029824 is about 271.5766193001.

The spelling of 20029824 in words is "twenty million, twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 17387 34774 52161 69548 104322 139096 156483 208644 278192 312966 417288 556384 625932 834576 1112768 1251864 1669152 2225536 2503728 3338304 5007456 6676608 10014912 20029824