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21645840 = 243590191
BaseRepresentation
bin101001010010…
…0101000010000
31111201201111210
41102210220100
521020131330
62051540120
7351662256
oct122445020
944651453
1021645840
1111244927
1272ba640
13463b5b8
142c365d6
151d788b0
hex14a4a10

21645840 has 40 divisors (see below), whose sum is σ = 67102848. Its totient is φ = 5772160.

The previous prime is 21645817. The next prime is 21645859. The reversal of 21645840 is 4854612.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21645798 and 21645807.

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, 44856 + ... + 45335.

Almost surely, 221645840 is an apocalyptic number.

21645840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21645840 is an abundant number, since it is smaller than the sum of its proper divisors (45457008).

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

21645840 is a wasteful number, since it uses less digits than its factorization.

21645840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90207 (or 90201 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 21645840 is about 4652.5090005286. The cubic root of 21645840 is about 278.6922004741.

It can be divided in two parts, 216 and 45840, that added together give a triangular number (46056 = T303).

The spelling of 21645840 in words is "twenty-one million, six hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 90191 180382 270573 360764 450955 541146 721528 901910 1082292 1352865 1443056 1803820 2164584 2705730 3607640 4329168 5411460 7215280 10822920 21645840