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21860480 = 27534157
BaseRepresentation
bin101001101100…
…1000010000000
31112010121221102
41103121002000
521044013410
62100313532
7353545115
oct123310200
945117842
1021860480
1111381114
1273a28a8
1346b51c5
142c9090c
151dbc2a5
hex14d9080

21860480 has 32 divisors (see below), whose sum is σ = 52261740. Its totient is φ = 8743936.

The previous prime is 21860479. The next prime is 21860483. The reversal of 21860480 is 8406812.

It can be written as a sum of positive squares in 2 ways, for example, as 21752896 + 107584 = 4664^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (21860483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16439 + ... + 17718.

Almost surely, 221860480 is an apocalyptic number.

21860480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21860480 is an abundant number, since it is smaller than the sum of its proper divisors (30401260).

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

21860480 is an equidigital number, since it uses as much as digits as its factorization.

21860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34176 (or 34164 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 21860480 is about 4675.5192225035. The cubic root of 21860480 is about 279.6103423443.

The spelling of 21860480 in words is "twenty-one million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 34157 68314 136628 170785 273256 341570 546512 683140 1093024 1366280 2186048 2732560 4372096 5465120 10930240 21860480