Search a number
-
+
4875360 = 253571451
BaseRepresentation
bin10010100110010001100000
3100011200201220
4102212101200
52222002420
6252255040
756303610
oct22462140
910150656
104875360
11282aa26
121771480
131019139
1490ca40
15664840
hex4a6460

4875360 has 96 divisors (see below), whose sum is σ = 17563392. Its totient is φ = 1113600.

The previous prime is 4875359. The next prime is 4875397. The reversal of 4875360 is 635784.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635 + ... + 4085.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 24875360 is an apocalyptic number.

4875360 is a gapful number since it is divisible by the number (40) 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 4875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781696).

4875360 is an abundant number, since it is smaller than the sum of its proper divisors (12688032).

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

4875360 is a wasteful number, since it uses less digits than its factorization.

4875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4875360 is about 2208.0217390234. The cubic root of 4875360 is about 169.5647458467.

The spelling of 4875360 in words is "four million, eight hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1451 1680 2902 3360 4353 5804 7255 8706 10157 11608 14510 17412 20314 21765 23216 29020 30471 34824 40628 43530 46432 50785 58040 60942 69648 81256 87060 101570 116080 121884 139296 152355 162512 174120 203140 232160 243768 304710 325024 348240 406280 487536 609420 696480 812560 975072 1218840 1625120 2437680 4875360