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28677060 = 22325313509
BaseRepresentation
bin110110101100…
…1001111000100
31222221221112100
41231121033010
524320131220
62502352100
7465515406
oct155311704
958857470
1028677060
1115207555
12972b630
135c30a99
143b46b76
1527b6d90
hex1b593c4

28677060 has 72 divisors (see below), whose sum is σ = 87436440. Its totient is φ = 7607808.

The previous prime is 28677049. The next prime is 28677083. The reversal of 28677060 is 6077682.

It can be written as a sum of positive squares in 4 ways, for example, as 544644 + 28132416 = 738^2 + 5304^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 56086 + ... + 56594.

It is an arithmetic number, because the mean of its divisors is an integer number (1214395).

Almost surely, 228677060 is an apocalyptic number.

28677060 is a gapful number since it is divisible by the number (20) 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 28677060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43718220).

28677060 is an abundant number, since it is smaller than the sum of its proper divisors (58759380).

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

28677060 is a wasteful number, since it uses less digits than its factorization.

28677060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 28677060 is about 5355.0966377835. The cubic root of 28677060 is about 306.0869930800.

The spelling of 28677060 in words is "twenty-eight million, six hundred seventy-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 509 626 939 1018 1252 1527 1565 1878 2036 2545 2817 3054 3130 3756 4581 4695 5090 5634 6108 6260 7635 9162 9390 10180 11268 14085 15270 18324 18780 22905 28170 30540 45810 56340 91620 159317 318634 477951 637268 796585 955902 1433853 1593170 1911804 2389755 2867706 3186340 4779510 5735412 7169265 9559020 14338530 28677060