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21694064 = 24735967
BaseRepresentation
bin101001011000…
…0011001110000
31111211011122212
41102300121300
521023202224
62052551252
7352253000
oct122603160
944734585
1021694064
1111278087
127322528
134657532
142c4a000
151d87d0e
hex14b0670

21694064 has 80 divisors (see below), whose sum is σ = 50592000. Its totient is φ = 9003456.

The previous prime is 21694061. The next prime is 21694069. The reversal of 21694064 is 46049612.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21694064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21694061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323759 + ... + 323825.

It is an arithmetic number, because the mean of its divisors is an integer number (632400).

Almost surely, 221694064 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 21694064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25296000).

21694064 is an abundant number, since it is smaller than the sum of its proper divisors (28897936).

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

21694064 is an equidigital number, since it uses as much as digits as its factorization.

21694064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 21694064 is about 4657.6886971974. The cubic root of 21694064 is about 278.8990097954.

The spelling of 21694064 in words is "twenty-one million, six hundred ninety-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 67 98 112 118 134 196 236 268 343 392 413 469 472 536 686 784 826 938 944 1072 1372 1652 1876 2744 2891 3283 3304 3752 3953 5488 5782 6566 6608 7504 7906 11564 13132 15812 20237 22981 23128 26264 27671 31624 40474 45962 46256 52528 55342 63248 80948 91924 110684 161896 183848 193697 221368 323792 367696 387394 442736 774788 1355879 1549576 2711758 3099152 5423516 10847032 21694064