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20162664 = 2332280037
BaseRepresentation
bin100110011101…
…0100001101000
31101221100222100
41030322201220
520130201124
62000053400
7333244164
oct114724150
941840870
1020162664
1110421565
126904260
13423c492
14296bca4
151b841c9
hex133a868

20162664 has 24 divisors (see below), whose sum is σ = 54607410. Its totient is φ = 6720864.

The previous prime is 20162641. The next prime is 20162717. The reversal of 20162664 is 46626102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10614564 + 9548100 = 3258^2 + 3090^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 139947 + ... + 140090.

Almost surely, 220162664 is an apocalyptic number.

20162664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20162664 is an abundant number, since it is smaller than the sum of its proper divisors (34444746).

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

20162664 is a wasteful number, since it uses less digits than its factorization.

20162664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280049 (or 280042 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20162664 is about 4490.2855143075. The cubic root of 20162664 is about 272.1756722724.

Adding to 20162664 its reverse (46626102), we get a palindrome (66788766).

The spelling of 20162664 in words is "twenty million, one hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 280037 560074 840111 1120148 1680222 2240296 2520333 3360444 5040666 6720888 10081332 20162664