Search a number
-
+
28406560 = 2557131951
BaseRepresentation
bin110110001011…
…1001100100000
31222110012110211
41230113030200
524233002220
62452503504
7463310650
oct154271440
958405424
1028406560
11150422a6
12961ab94
135b67920
143ab6360
152761b5a
hex1b17320

28406560 has 96 divisors (see below), whose sum is σ = 82639872. Its totient is φ = 8985600.

The previous prime is 28406557. The next prime is 28406579. The reversal of 28406560 is 6560482.

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 15 ways as a sum of consecutive naturals, for example, 13585 + ... + 15535.

It is an arithmetic number, because the mean of its divisors is an integer number (860832).

Almost surely, 228406560 is an apocalyptic number.

28406560 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 28406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319936).

28406560 is an abundant number, since it is smaller than the sum of its proper divisors (54233312).

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

28406560 is a wasteful number, since it uses less digits than its factorization.

28406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 28406560 is about 5329.7804832845. The cubic root of 28406560 is about 305.1215496898.

The spelling of 28406560 in words is "twenty-eight million, four hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 1951 2080 2912 3640 3902 7280 7804 9755 13657 14560 15608 19510 25363 27314 31216 39020 50726 54628 62432 68285 78040 101452 109256 126815 136570 156080 177541 202904 218512 253630 273140 312160 355082 405808 437024 507260 546280 710164 811616 887705 1014520 1092560 1420328 1775410 2029040 2185120 2840656 3550820 4058080 5681312 7101640 14203280 28406560