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21235008 = 263195821
BaseRepresentation
bin101000100000…
…0010101000000
31110221211221210
41101000111000
520414010013
62035050120
7345331434
oct121002500
943854853
1021235008
1110a941a3
127140940
1345265c2
142b6a9c4
151ce6cc3
hex1440540

21235008 has 56 divisors (see below), whose sum is σ = 59151520. Its totient is φ = 6704640.

The previous prime is 21235001. The next prime is 21235009. The reversal of 21235008 is 80053212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21235001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738 + ... + 6558.

Almost surely, 221235008 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 21235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29575760).

21235008 is an abundant number, since it is smaller than the sum of its proper divisors (37916512).

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

21235008 is a wasteful number, since it uses less digits than its factorization.

21235008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 21235008 is about 4608.1458310257. The cubic root of 21235008 is about 276.9177598219.

The spelling of 21235008 in words is "twenty-one million, two hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 5821 11642 17463 23284 34926 46568 69852 93136 110599 139704 186272 221198 279408 331797 372544 442396 558816 663594 884792 1117632 1327188 1769584 2654376 3539168 5308752 7078336 10617504 21235008