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2390560 = 25567223
BaseRepresentation
bin1001000111101000100000
311111110020021
421013220200
51102444220
6123123224
726214364
oct11075040
94443207
102390560
111393077
12973514
13659143
144632a4
153234aa
hex247a20

2390560 has 48 divisors (see below), whose sum is σ = 5757696. Its totient is φ = 937728.

The previous prime is 2390543. The next prime is 2390579. The reversal of 2390560 is 650932.

It is a super-2 number, since 2×23905602 = 11429554227200, which contains 22 as substring.

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, 10609 + ... + 10831.

It is an arithmetic number, because the mean of its divisors is an integer number (119952).

22390560 is an apocalyptic number.

2390560 is a gapful number since it is divisible by the number (20) 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 2390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848).

2390560 is an abundant number, since it is smaller than the sum of its proper divisors (3367136).

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

2390560 is a wasteful number, since it uses less digits than its factorization.

2390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 2390560 is about 1546.1435897096. The cubic root of 2390560 is about 133.7108191637.

The spelling of 2390560 in words is "two million, three hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 223 268 335 446 536 670 892 1072 1115 1340 1784 2144 2230 2680 3568 4460 5360 7136 8920 10720 14941 17840 29882 35680 59764 74705 119528 149410 239056 298820 478112 597640 1195280 2390560