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21376480 = 2551729271
BaseRepresentation
bin101000110001…
…0110111100000
31111020001000111
41101202313200
520433021410
62042101104
7346461046
oct121426740
944201014
1021376480
1111080514
1271aa794
134575b08
142ba6396
151d23b8a
hex1462de0

21376480 has 96 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 7741440.

The previous prime is 21376471. The next prime is 21376483. The reversal of 21376480 is 8467312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21376483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78745 + ... + 79015.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 221376480 is an apocalyptic number.

21376480 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 21376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

21376480 is an abundant number, since it is smaller than the sum of its proper divisors (34144160).

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

21376480 is a wasteful number, since it uses less digits than its factorization.

21376480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 21376480 is about 4623.4705579251. The cubic root of 21376480 is about 277.5313602521.

The spelling of 21376480 in words is "twenty-one million, three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 145 160 170 232 271 272 290 340 464 493 542 544 580 680 928 986 1084 1160 1355 1360 1972 2168 2320 2465 2710 2720 3944 4336 4607 4640 4930 5420 7859 7888 8672 9214 9860 10840 15718 15776 18428 19720 21680 23035 31436 36856 39295 39440 43360 46070 62872 73712 78590 78880 92140 125744 133603 147424 157180 184280 251488 267206 314360 368560 534412 628720 668015 737120 1068824 1257440 1336030 2137648 2672060 4275296 5344120 10688240 21376480