Search a number
-
+
28102560 = 2535127461
BaseRepresentation
bin110101100110…
…0111110100000
31221212202110120
41223030332200
524143240220
62442200240
7460603443
oct153147640
957782416
1028102560
1114954962
1294b3080
135a8c445
143a3765a
152701a40
hex1accfa0

28102560 has 96 divisors (see below), whose sum is σ = 89413632. Its totient is φ = 7418880.

The previous prime is 28102559. The next prime is 28102567. The reversal of 28102560 is 6520182.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 28102560.

It is not an unprimeable number, because it can be changed into a prime (28102567) 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, 60730 + ... + 61190.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 228102560 is an apocalyptic number.

28102560 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 28102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44706816).

28102560 is an abundant number, since it is smaller than the sum of its proper divisors (61311072).

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

28102560 is a wasteful number, since it uses less digits than its factorization.

28102560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 28102560 is about 5301.1847732370. The cubic root of 28102560 is about 304.0291984882.

The spelling of 28102560 in words is "twenty-eight million, one hundred two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 461 480 508 635 762 922 1016 1270 1383 1524 1844 1905 2032 2305 2540 2766 3048 3688 3810 4064 4610 5080 5532 6096 6915 7376 7620 9220 10160 11064 12192 13830 14752 15240 18440 20320 22128 27660 30480 36880 44256 55320 58547 60960 73760 110640 117094 175641 221280 234188 292735 351282 468376 585470 702564 878205 936752 1170940 1405128 1756410 1873504 2341880 2810256 3512820 4683760 5620512 7025640 9367520 14051280 28102560