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21520408 = 23721341103
BaseRepresentation
bin101001000011…
…0000000011000
31111111100110011
41102012000120
521002123113
62045131304
7350630500
oct122060030
944440404
1021520408
1111169668
127259b34
1345c6490
142c02a00
151d5163d
hex1486018

21520408 has 96 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 8225280.

The previous prime is 21520399. The next prime is 21520423. The reversal of 21520408 is 80402512.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208885 + ... + 208987.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 221520408 is an apocalyptic number.

21520408 is a gapful number since it is divisible by the number (28) 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 21520408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

21520408 is an abundant number, since it is smaller than the sum of its proper divisors (30764552).

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

21520408 is a wasteful number, since it uses less digits than its factorization.

21520408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 21520408 is about 4639.0093770114. The cubic root of 21520408 is about 278.1528410963.

The spelling of 21520408 in words is "twenty-one million, five hundred twenty thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 41 49 52 56 82 91 98 103 104 164 182 196 206 287 328 364 392 412 533 574 637 721 728 824 1066 1148 1274 1339 1442 2009 2132 2296 2548 2678 2884 3731 4018 4223 4264 5047 5096 5356 5768 7462 8036 8446 9373 10094 10712 14924 16072 16892 18746 20188 26117 29561 29848 33784 37492 40376 52234 54899 59122 65611 74984 104468 109798 118244 131222 206927 208936 219596 236488 262444 384293 413854 439192 524888 768586 827708 1537172 1655416 2690051 3074344 5380102 10760204 21520408