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21053004 = 22371723641
BaseRepresentation
bin101000001001…
…1111001001100
31110121121021220
41100103321030
520342144004
62031123340
7343643010
oct120237114
943547256
1021053004
111097a485
127073550
1344917cb
142b20540
151cacdd9
hex1413e4c

21053004 has 96 divisors (see below), whose sum is σ = 62125056. Its totient is φ = 5406720.

The previous prime is 21052979. The next prime is 21053009. The reversal of 21053004 is 40035012.

It is not an unprimeable number, because it can be changed into a prime (21053009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32524 + ... + 33164.

It is an arithmetic number, because the mean of its divisors is an integer number (647136).

Almost surely, 221053004 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 21053004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31062528).

21053004 is an abundant number, since it is smaller than the sum of its proper divisors (41072052).

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

21053004 is a wasteful number, since it uses less digits than its factorization.

21053004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 21053004 is about 4588.3552608751. The cubic root of 21053004 is about 276.1243401107.

Adding to 21053004 its reverse (40035012), we get a palindrome (61088016).

The spelling of 21053004 in words is "twenty-one million, fifty-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 322 357 391 476 483 641 644 714 782 966 1173 1282 1428 1564 1923 1932 2346 2564 2737 3846 4487 4692 5474 7692 8211 8974 10897 10948 13461 14743 16422 17948 21794 26922 29486 32691 32844 43588 44229 53844 58972 65382 76279 88458 103201 130764 152558 176916 206402 228837 250631 305116 309603 412804 457674 501262 619206 751893 915348 1002524 1238412 1503786 1754417 3007572 3508834 5263251 7017668 10526502 21053004