[go: up one dir, main page]

Search a number
-
+
28002580 = 22519591249
BaseRepresentation
bin110101011010…
…0100100010100
31221200200022121
41222310210110
524132040310
62440105324
7460006114
oct152644424
957620277
1028002580
1114896831
129465244
135a55a98
143a0d044
1526d20da
hex1ab4914

28002580 has 48 divisors (see below), whose sum is σ = 63000000. Its totient is φ = 10423296.

The previous prime is 28002551. The next prime is 28002593. The reversal of 28002580 is 8520082.

It is a congruent number.

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, 21796 + ... + 23044.

It is an arithmetic number, because the mean of its divisors is an integer number (1312500).

Almost surely, 228002580 is an apocalyptic number.

28002580 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 28002580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31500000).

28002580 is an abundant number, since it is smaller than the sum of its proper divisors (34997420).

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

28002580 is a wasteful number, since it uses less digits than its factorization.

28002580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 28002580 is about 5291.7464035987. The cubic root of 28002580 is about 303.6682235672.

It can be divided in two parts, 28002 and 580, that added together give a palindrome (28582).

The spelling of 28002580 in words is "twenty-eight million, two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 380 590 1121 1180 1249 2242 2498 4484 4996 5605 6245 11210 12490 22420 23731 24980 47462 73691 94924 118655 147382 237310 294764 368455 474620 736910 1400129 1473820 2800258 5600516 7000645 14001290 28002580