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21684720 = 243590353
BaseRepresentation
bin101001010111…
…0000111110000
31111210200211210
41102232013300
521022402340
62052440120
7352213521
oct122560760
944720753
1021684720
1111271062
127319040
1346531c5
142c46848
151d85180
hex14ae1f0

21684720 has 40 divisors (see below), whose sum is σ = 67223376. Its totient is φ = 5782528.

The previous prime is 21684713. The next prime is 21684739. The reversal of 21684720 is 2748612.

21684720 = 1182 + 1192 + ... + 4052.

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 congruent number.

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, 44937 + ... + 45416.

Almost surely, 221684720 is an apocalyptic number.

21684720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21684720 is an abundant number, since it is smaller than the sum of its proper divisors (45538656).

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

21684720 is a wasteful number, since it uses less digits than its factorization.

21684720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90369 (or 90363 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 21684720 is about 4656.6855165450. The cubic root of 21684720 is about 278.8589618727.

The spelling of 21684720 in words is "twenty-one million, six hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 90353 180706 271059 361412 451765 542118 722824 903530 1084236 1355295 1445648 1807060 2168472 2710590 3614120 4336944 5421180 7228240 10842360 21684720