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21322640 = 2451931381
BaseRepresentation
bin101000101010…
…1101110010000
31111010022011102
41101111232100
520424311030
62041003532
7346145063
oct121255620
944108142
1021322640
1111044019
1271835a8
134557461
142b908da
151d12c45
hex1455b90

21322640 has 40 divisors (see below), whose sum is σ = 49868088. Its totient is φ = 8478720.

The previous prime is 21322621. The next prime is 21322661. The reversal of 21322640 is 4622312.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 20757136 = 752^2 + 4556^2 .

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

It is a super-3 number, since 3×213226403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14750 + ... + 16130.

Almost surely, 221322640 is an apocalyptic number.

21322640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322640 is an abundant number, since it is smaller than the sum of its proper divisors (28545448).

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

21322640 is a wasteful number, since it uses less digits than its factorization.

21322640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 21322640 is about 4617.6444211308. The cubic root of 21322640 is about 277.2981623503.

Adding to 21322640 its reverse (4622312), we get a palindrome (25944952).

The spelling of 21322640 in words is "twenty-one million, three hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1381 1544 1930 2762 3088 3860 5524 6905 7720 11048 13810 15440 22096 27620 55240 110480 266533 533066 1066132 1332665 2132264 2665330 4264528 5330660 10661320 21322640