Search a number
-
+
4563680 = 255112593
BaseRepresentation
bin10001011010001011100000
322120212012012
4101122023200
52132014210
6241452052
753535122
oct21321340
98525165
104563680
112637840
121641028
13c3a304
1486b212
15602305
hex45a2e0

4563680 has 48 divisors (see below), whose sum is σ = 11766384. Its totient is φ = 1658880.

The previous prime is 4563679. The next prime is 4563697. The reversal of 4563680 is 863654.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (245133).

Almost surely, 24563680 is an apocalyptic number.

4563680 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 4563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883192).

4563680 is an abundant number, since it is smaller than the sum of its proper divisors (7202704).

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

4563680 is a wasteful number, since it uses less digits than its factorization.

4563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 4563680 is about 2136.2771355796. The cubic root of 4563680 is about 165.8714832448.

The spelling of 4563680 in words is "four million, five hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2593 5186 10372 12965 20744 25930 28523 41488 51860 57046 82976 103720 114092 142615 207440 228184 285230 414880 456368 570460 912736 1140920 2281840 4563680