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28337140 = 22513731493
BaseRepresentation
bin110110000011…
…0001111110100
31222022200020201
41230012033310
524223242030
62451210244
7462601366
oct154061764
958280221
1028337140
1114aa5127
1295a6984
135b42150
143a98d36
15274b2ca
hex1b063f4

28337140 has 48 divisors (see below), whose sum is σ = 65006928. Its totient is φ = 10312704.

The previous prime is 28337137. The next prime is 28337143. The reversal of 28337140 is 4173382.

It is an interprime number because it is at equal distance from previous prime (28337137) and next prime (28337143).

It can be written as a sum of positive squares in 8 ways, for example, as 13456 + 28323684 = 116^2 + 5322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28337099 and 28337108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28337143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18234 + ... + 19726.

It is an arithmetic number, because the mean of its divisors is an integer number (1354311).

Almost surely, 228337140 is an apocalyptic number.

28337140 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 28337140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32503464).

28337140 is an abundant number, since it is smaller than the sum of its proper divisors (36669788).

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

28337140 is a wasteful number, since it uses less digits than its factorization.

28337140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 28337140 is about 5323.2640362845. The cubic root of 28337140 is about 304.8727947551.

The spelling of 28337140 in words is "twenty-eight million, three hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1493 1898 2986 3796 4745 5972 7465 9490 14930 18980 19409 29860 38818 77636 97045 108989 194090 217978 388180 435956 544945 1089890 1416857 2179780 2833714 5667428 7084285 14168570 28337140