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21019008 = 273127431
BaseRepresentation
bin101000000101…
…1100110000000
31110112212122210
41100023212000
520340102013
62030302120
7343441623
oct120134600
943485583
1021019008
111095698a
127057940
13447c1aa
142b11dba
151ca2cc3
hex140b980

21019008 has 64 divisors (see below), whose sum is σ = 56401920. Its totient is φ = 6935040.

The previous prime is 21019007. The next prime is 21019043. The reversal of 21019008 is 80091012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21019001) 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, 48553 + ... + 48983.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 221019008 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 21019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200960).

21019008 is an abundant number, since it is smaller than the sum of its proper divisors (35382912).

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

21019008 is a wasteful number, since it uses less digits than its factorization.

21019008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 21019008 is about 4584.6491686933. The cubic root of 21019008 is about 275.9756332196.

The spelling of 21019008 in words is "twenty-one million, nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 431 508 762 862 1016 1293 1524 1724 2032 2586 3048 3448 4064 5172 6096 6896 8128 10344 12192 13792 16256 20688 24384 27584 41376 48768 54737 55168 82752 109474 164211 165504 218948 328422 437896 656844 875792 1313688 1751584 2627376 3503168 5254752 7006336 10509504 21019008