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21349536 = 2531317107
BaseRepresentation
bin101000101110…
…0010010100000
31111011200001120
41101130102200
520431141121
62041332240
7346316355
oct121342240
944150046
1021349536
111106224a
127197080
134566780
142b9a62c
151d1abc6
hex145c4a0

21349536 has 48 divisors (see below), whose sum is σ = 60357024. Its totient is φ = 6568704.

The previous prime is 21349519. The next prime is 21349541. The reversal of 21349536 is 63594312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 21349497 and 21349506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7306 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (1257438).

Almost surely, 221349536 is an apocalyptic number.

21349536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21349536 is an abundant number, since it is smaller than the sum of its proper divisors (39007488).

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

21349536 is a wasteful number, since it uses less digits than its factorization.

21349536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17133 (or 17125 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 21349536 is about 4620.5558107223. Note that the first 3 decimals coincide. The cubic root of 21349536 is about 277.4147063569.

It can be divided in two parts, 213495 and 36, that added together give a triangular number (213531 = T653).

The spelling of 21349536 in words is "twenty-one million, three hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 17107 34214 51321 68428 102642 136856 205284 222391 273712 410568 444782 547424 667173 821136 889564 1334346 1642272 1779128 2668692 3558256 5337384 7116512 10674768 21349536