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21706480 = 2452347251
BaseRepresentation
bin101001011001…
…1011011110000
31111211210200201
41102303123300
521024101410
62053124544
7352334125
oct122633360
944753621
1021706480
1111286444
127329754
134660093
142c5074c
151d8b83a
hex14b36f0

21706480 has 80 divisors (see below), whose sum is σ = 53996544. Its totient is φ = 8096000.

The previous prime is 21706463. The next prime is 21706519. The reversal of 21706480 is 8460712.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86355 + ... + 86605.

Almost surely, 221706480 is an apocalyptic number.

21706480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21706480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

21706480 is an abundant number, since it is smaller than the sum of its proper divisors (32290064).

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

21706480 is a wasteful number, since it uses less digits than its factorization.

21706480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 21706480 is about 4659.0213564653. The cubic root of 21706480 is about 278.9522063703.

The spelling of 21706480 in words is "twenty-one million, seven hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 251 368 376 460 470 502 752 920 940 1004 1081 1255 1840 1880 2008 2162 2510 3760 4016 4324 5020 5405 5773 8648 10040 10810 11546 11797 17296 20080 21620 23092 23594 28865 43240 46184 47188 57730 58985 86480 92368 94376 115460 117970 188752 230920 235940 271331 461840 471880 542662 943760 1085324 1356655 2170648 2713310 4341296 5426620 10853240 21706480