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21150801 = 3472732
BaseRepresentation
bin101000010101…
…1110001010001
31110210120110000
41100223301101
520403311201
62033200213
7344531100
oct120536121
943716400
1021150801
1110a36a01
127100069
1344c7189
142b48037
151ccbd86
hex142bc51

21150801 has 45 divisors (see below), whose sum is σ = 37264491. Its totient is φ = 11920608.

The previous prime is 21150757. The next prime is 21150803. The reversal of 21150801 is 10805112.

The square root of 21150801 is 4599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12006225 + 9144576 = 3465^2 + 3024^2 .

It is not a de Polignac number, because 21150801 - 27 = 21150673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21150803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 289701 + ... + 289773.

Almost surely, 221150801 is an apocalyptic number.

21150801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21150801 is the 4599-th square number.

21150801 is the 2300-th centered octagonal number.

It is an amenable number.

21150801 is a deficient number, since it is larger than the sum of its proper divisors (16113690).

21150801 is an frugal number, since it uses more digits than its factorization.

21150801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The cubic root of 21150801 is about 276.5512376339.

Adding to 21150801 its reverse (10805112), we get a palindrome (31955913).

The spelling of 21150801 in words is "twenty-one million, one hundred fifty thousand, eight hundred one".

Divisors: 1 3 7 9 21 27 49 63 73 81 147 189 219 441 511 567 657 1323 1533 1971 3577 3969 4599 5329 5913 10731 13797 15987 32193 37303 41391 47961 96579 111909 143883 261121 289737 335727 431649 783363 1007181 2350089 3021543 7050267 21150801