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21004032 = 28373907
BaseRepresentation
bin101000000011…
…1111100000000
31110112010010010
41100013330000
520334112112
62030104520
7343350150
oct120077400
943463103
1021004032
1110946705
12704b140
13447542a
142b0a760
151c9d63c
hex1407f00

21004032 has 72 divisors (see below), whose sum is σ = 63903616. Its totient is φ = 5999616.

The previous prime is 21003937. The next prime is 21004043. The reversal of 21004032 is 23040012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21003999 and 21004017.

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, 3423 + ... + 7329.

Almost surely, 221004032 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 21004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31951808).

21004032 is an abundant number, since it is smaller than the sum of its proper divisors (42899584).

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

21004032 is an equidigital number, since it uses as much as digits as its factorization.

21004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 21004032 is about 4583.0156011081. The cubic root of 21004032 is about 275.9100736229.

Adding to 21004032 its reverse (23040012), we get a palindrome (44044044).

The spelling of 21004032 in words is "twenty-one million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3907 5376 7814 11721 15628 23442 27349 31256 46884 54698 62512 82047 93768 109396 125024 164094 187536 218792 250048 328188 375072 437584 500096 656376 750144 875168 1000192 1312752 1500288 1750336 2625504 3000576 3500672 5251008 7001344 10502016 21004032