Search a number
-
+
4565040 = 243523827
BaseRepresentation
bin10001011010100000110000
322120221001120
4101122200300
52132040130
6241502240
753542104
oct21324060
98527046
104565040
112638867
121641980
13c3ab0c
1486b904
15602910
hex45a830

4565040 has 80 divisors (see below), whose sum is σ = 14784768. Its totient is φ = 1163008.

The previous prime is 4565039. The next prime is 4565047. The reversal of 4565040 is 405654.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4565040.

It is not an unprimeable number, because it can be changed into a prime (4565047) 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, 5107 + ... + 5933.

Almost surely, 24565040 is an apocalyptic number.

4565040 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 4565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392384).

4565040 is an abundant number, since it is smaller than the sum of its proper divisors (10219728).

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

4565040 is a wasteful number, since it uses less digits than its factorization.

4565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4565040 is about 2136.5954226292. The cubic root of 4565040 is about 165.8879584586.

The spelling of 4565040 in words is "four million, five hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 827 920 1104 1380 1654 1840 2481 2760 3308 4135 4962 5520 6616 8270 9924 12405 13232 16540 19021 19848 24810 33080 38042 39696 49620 57063 66160 76084 95105 99240 114126 152168 190210 198480 228252 285315 304336 380420 456504 570630 760840 913008 1141260 1521680 2282520 4565040