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21399966 = 23272191277
BaseRepresentation
bin101000110100…
…0100110011110
31111021020020100
41101220212132
520434244331
62042401530
7346616400
oct121504636
944236210
1021399966
1111097125
1272002a6
134583703
142bb0b70
151d2aae6
hex146899e

21399966 has 72 divisors (see below), whose sum is σ = 56819880. Its totient is φ = 5787936.

The previous prime is 21399953. The next prime is 21399967. The reversal of 21399966 is 66999312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21399967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16120 + ... + 17396.

It is an arithmetic number, because the mean of its divisors is an integer number (789165).

Almost surely, 221399966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21399966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28409940).

21399966 is an abundant number, since it is smaller than the sum of its proper divisors (35419914).

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

21399966 is a wasteful number, since it uses less digits than its factorization.

21399966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 21399966 is about 4626.0097276162. The cubic root of 21399966 is about 277.6329628214.

The spelling of 21399966 in words is "twenty-one million, three hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1277 1862 2394 2554 2793 3831 5586 7662 8379 8939 11493 16758 17878 22986 24263 26817 48526 53634 62573 72789 80451 125146 145578 160902 169841 187719 218367 339682 375438 436734 509523 563157 1019046 1126314 1188887 1528569 2377774 3057138 3566661 7133322 10699983 21399966