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21460968 = 23321272347
BaseRepresentation
bin101000111011…
…1011111101000
31111101022220200
41101313133220
520443222333
62043552200
7350262264
oct121673750
944338820
1021460968
1111128a41
12722b660
1345a53c9
142bc90a4
151d3dc13
hex14777e8

21460968 has 48 divisors (see below), whose sum is σ = 58606080. Its totient is φ = 7094304.

The previous prime is 21460963. The next prime is 21460969. The reversal of 21460968 is 86906412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21460963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7971 + ... + 10317.

It is an arithmetic number, because the mean of its divisors is an integer number (1220960).

Almost surely, 221460968 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 21460968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29303040).

21460968 is an abundant number, since it is smaller than the sum of its proper divisors (37145112).

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

21460968 is a wasteful number, since it uses less digits than its factorization.

21460968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 21460968 is about 4632.5984069418. The cubic root of 21460968 is about 277.8965161822.

The spelling of 21460968 in words is "twenty-one million, four hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 2347 3048 4572 4694 7041 9144 9388 14082 18776 21123 28164 42246 56328 84492 168984 298069 596138 894207 1192276 1788414 2384552 2682621 3576828 5365242 7153656 10730484 21460968