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21359808 = 263347263
BaseRepresentation
bin101000101111…
…0110011000000
31111012012011000
41101132303000
520432003213
62041452000
7346361331
oct121366300
944165130
1021359808
1111069a38
1271a1000
13456b352
142ba0288
151d1dc73
hex145ecc0

21359808 has 112 divisors (see below), whose sum is σ = 64373760. Its totient is φ = 6941952.

The previous prime is 21359797. The next prime is 21359813. The reversal of 21359808 is 80895312.

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

It is an unprimeable number.

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, 81085 + ... + 81347.

Almost surely, 221359808 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 21359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186880).

21359808 is an abundant number, since it is smaller than the sum of its proper divisors (43013952).

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

21359808 is a wasteful number, since it uses less digits than its factorization.

21359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 21359808 is about 4621.6672316384. The cubic root of 21359808 is about 277.4591904926.

The spelling of 21359808 in words is "twenty-one million, three hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 263 282 288 376 423 432 526 564 576 752 789 846 864 1052 1128 1269 1504 1578 1692 1728 2104 2256 2367 2538 3008 3156 3384 4208 4512 4734 5076 6312 6768 7101 8416 9024 9468 10152 12361 12624 13536 14202 16832 18936 20304 24722 25248 27072 28404 37083 37872 40608 49444 50496 56808 74166 75744 81216 98888 111249 113616 148332 151488 197776 222498 227232 296664 333747 395552 444996 454464 593328 667494 791104 889992 1186656 1334988 1779984 2373312 2669976 3559968 5339952 7119936 10679904 21359808