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20780664 = 2331731253
BaseRepresentation
bin100111101000…
…1011001111000
31110002202201020
41033101121320
520304440124
62021222440
7341430012
oct117213170
943082636
1020780664
1110803903
126b61a20
1343c7868
142a8d1b2
151c57379
hex13d1678

20780664 has 96 divisors (see below), whose sum is σ = 57911760. Its totient is φ = 6190080.

The previous prime is 20780659. The next prime is 20780689. The reversal of 20780664 is 46608702.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392062 + ... + 392114.

Almost surely, 220780664 is an apocalyptic number.

20780664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20780664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28955880).

20780664 is an abundant number, since it is smaller than the sum of its proper divisors (37131096).

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

20780664 is a wasteful number, since it uses less digits than its factorization.

20780664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 20780664 is about 4558.5813582736. The cubic root of 20780664 is about 274.9285279826.

The spelling of 20780664 in words is "twenty million, seven hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 53 62 68 93 102 106 124 136 159 186 204 212 248 318 372 408 424 527 636 744 901 961 1054 1272 1581 1643 1802 1922 2108 2703 2883 3162 3286 3604 3844 4216 4929 5406 5766 6324 6572 7208 7688 9858 10812 11532 12648 13144 16337 19716 21624 23064 27931 32674 39432 49011 50933 55862 65348 83793 98022 101866 111724 130696 152799 167586 196044 203732 223448 305598 335172 392088 407464 611196 670344 865861 1222392 1731722 2597583 3463444 5195166 6926888 10390332 20780664