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21355368 = 2332961503
BaseRepresentation
bin101000101110…
…1101101101000
31111011222001120
41101131231220
520431332433
62041415240
7346342356
oct121355550
944158046
1021355368
1111066671
12719a520
134569318
142b9c7d6
151d1c7b3
hex145db68

21355368 has 64 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 6746880.

The previous prime is 21355351. The next prime is 21355387. The reversal of 21355368 is 86355312.

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, 42205 + ... + 42707.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 221355368 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 21355368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

21355368 is an abundant number, since it is smaller than the sum of its proper divisors (34891032).

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

21355368 is a wasteful number, since it uses less digits than its factorization.

21355368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 21355368 is about 4621.1868605370. The cubic root of 21355368 is about 277.4399642871.

It can be divided in two parts, 2135 and 5368, that added together give a triangular number (7503 = T122).

The spelling of 21355368 in words is "twenty-one million, three hundred fifty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 488 503 696 732 1006 1464 1509 1769 2012 3018 3538 4024 5307 6036 7076 10614 12072 14152 14587 21228 29174 30683 42456 43761 58348 61366 87522 92049 116696 122732 175044 184098 245464 350088 368196 736392 889807 1779614 2669421 3559228 5338842 7118456 10677684 21355368