Search a number
-
+
15228640 = 255713597
BaseRepresentation
bin111010000101…
…111011100000
31001122200202201
4322011323200
512344304030
61302222544
7243304240
oct72057340
931580681
1015228640
118661559
125124a54
13320273b
142045b20
15150c2ca
hexe85ee0

15228640 has 48 divisors (see below), whose sum is σ = 41120352. Its totient is φ = 5220864.

The previous prime is 15228637. The next prime is 15228641. The reversal of 15228640 is 4682251.

15228640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152286402 = 463822952499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 15228599 and 15228608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15228641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5679 + ... + 7918.

It is an arithmetic number, because the mean of its divisors is an integer number (856674).

Almost surely, 215228640 is an apocalyptic number.

15228640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15228640 is an abundant number, since it is smaller than the sum of its proper divisors (25891712).

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

15228640 is a wasteful number, since it uses less digits than its factorization.

15228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13619 (or 13611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 15228640 is about 3902.3890118746. The cubic root of 15228640 is about 247.8679491245.

The spelling of 15228640 in words is "fifteen million, two hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 13597 27194 54388 67985 95179 108776 135970 190358 217552 271940 380716 435104 475895 543880 761432 951790 1087760 1522864 1903580 2175520 3045728 3807160 7614320 15228640