Search a number
-
+
28014360 = 233511191117
BaseRepresentation
bin110101011011…
…1011100011000
31221201021110220
41222313130120
524132424420
62440240040
7460055343
oct152673430
957637426
1028014360
11148a4670
129470020
135a5b25a
143a1345a
1526d5840
hex1ab7718

28014360 has 128 divisors (see below), whose sum is σ = 96595200. Its totient is φ = 6428160.

The previous prime is 28014347. The next prime is 28014383. The reversal of 28014360 is 6341082.

It is a happy number.

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 28014360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24522 + ... + 25638.

It is an arithmetic number, because the mean of its divisors is an integer number (754650).

Almost surely, 228014360 is an apocalyptic number.

28014360 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 28014360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297600).

28014360 is an abundant number, since it is smaller than the sum of its proper divisors (68580840).

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

28014360 is a wasteful number, since it uses less digits than its factorization.

28014360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 28014360 is about 5292.8593406589. The cubic root of 28014360 is about 303.7107995272.

The spelling of 28014360 in words is "twenty-eight million, fourteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1117 1140 1254 1320 1672 2090 2234 2280 2508 3135 3351 4180 4468 5016 5585 6270 6702 8360 8936 11170 12287 12540 13404 16755 21223 22340 24574 25080 26808 33510 36861 42446 44680 49148 61435 63669 67020 73722 84892 98296 106115 122870 127338 134040 147444 169784 184305 212230 233453 245740 254676 294888 318345 368610 424460 466906 491480 509352 636690 700359 737220 848920 933812 1167265 1273380 1400718 1474440 1867624 2334530 2546760 2801436 3501795 4669060 5602872 7003590 9338120 14007180 28014360