Search a number
-
+
16628560 = 2451359271
BaseRepresentation
bin111111011011…
…101101010000
31011021211002121
4333123231100
513224103220
61352224024
7261224524
oct77335520
934254077
1016628560
119428313
12569b014
1335a29b0
1422cbd84
1516d6eaa
hexfdbb50

16628560 has 80 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 6013440.

The previous prime is 16628551. The next prime is 16628561. The reversal of 16628560 is 6582661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16628561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61225 + ... + 61495.

It is an arithmetic number, because the mean of its divisors is an integer number (531216).

Almost surely, 216628560 is an apocalyptic number.

16628560 is a gapful number since it is divisible by the number (10) 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 16628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

16628560 is an abundant number, since it is smaller than the sum of its proper divisors (25868720).

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

16628560 is a wasteful number, since it uses less digits than its factorization.

16628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 16628560 is about 4077.8131394168. The cubic root of 16628560 is about 255.2416522522.

The spelling of 16628560 in words is "sixteen million, six hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 271 295 472 520 542 590 767 944 1040 1084 1180 1355 1534 2168 2360 2710 3068 3523 3835 4336 4720 5420 6136 7046 7670 10840 12272 14092 15340 15989 17615 21680 28184 30680 31978 35230 56368 61360 63956 70460 79945 127912 140920 159890 207857 255824 281840 319780 415714 639560 831428 1039285 1279120 1662856 2078570 3325712 4157140 8314280 16628560