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21292032 = 210329239
BaseRepresentation
bin101000100111…
…0010000000000
31111001202011210
41101032100000
520422321112
62040210120
7345656616
oct121162000
944052153
1021292032
1111023023
127169940
134546548
142b836b6
151d08b3c
hex144e400

21292032 has 88 divisors (see below), whose sum is σ = 58953600. Its totient is φ = 6823936.

The previous prime is 21292031. The next prime is 21292039. The reversal of 21292032 is 23029212.

It is not an unprimeable number, because it can be changed into a prime (21292031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88969 + ... + 89207.

Almost surely, 221292032 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 21292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29476800).

21292032 is an abundant number, since it is smaller than the sum of its proper divisors (37661568).

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

21292032 is a wasteful number, since it uses less digits than its factorization.

21292032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21292032 is about 4614.3289869709. The cubic root of 21292032 is about 277.1654144574.

The spelling of 21292032 in words is "twenty-one million, two hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 239 256 348 384 464 478 512 696 717 768 928 956 1024 1392 1434 1536 1856 1912 2784 2868 3072 3712 3824 5568 5736 6931 7424 7648 11136 11472 13862 14848 15296 20793 22272 22944 27724 29696 30592 41586 44544 45888 55448 61184 83172 89088 91776 110896 122368 166344 183552 221792 244736 332688 367104 443584 665376 734208 887168 1330752 1774336 2661504 3548672 5323008 7097344 10646016 21292032