Search a number
-
+
245998560 = 2535512497
BaseRepresentation
bin11101010100110…
…10001111100000
3122010220000120210
432222122033200
51000433423220
640224334120
76044644653
oct1652321740
9563800523
10245998560
111169503a5
126a474340
133bc712a2
142495789a
15168e36e0
hexea9a3e0

245998560 has 48 divisors (see below), whose sum is σ = 774896976. Its totient is φ = 65599488.

The previous prime is 245998559. The next prime is 245998573. The reversal of 245998560 is 65899542.

245998560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 255769 + ... + 256728.

It is an arithmetic number, because the mean of its divisors is an integer number (16143687).

Almost surely, 2245998560 is an apocalyptic number.

245998560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245998560 is an abundant number, since it is smaller than the sum of its proper divisors (528898416).

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

245998560 is a wasteful number, since it uses less digits than its factorization.

245998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512515 (or 512507 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 245998560 is about 15684.3412357676. The cubic root of 245998560 is about 626.5814330031.

The spelling of 245998560 in words is "two hundred forty-five million, nine hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 512497 1024994 1537491 2049988 2562485 3074982 4099976 5124970 6149964 7687455 8199952 10249940 12299928 15374910 16399904 20499880 24599856 30749820 40999760 49199712 61499640 81999520 122999280 245998560