Search a number
-
+
2942560 = 25553347
BaseRepresentation
bin1011001110011001100000
312112111102201
423032121200
51223130220
6143022544
734003615
oct13163140
95474381
102942560
11172a875
12b9aa54
137c047a
1456850c
153d1d0a
hex2ce660

2942560 has 48 divisors (see below), whose sum is σ = 7103376. Its totient is φ = 1151488.

The previous prime is 2942539. The next prime is 2942561. The reversal of 2942560 is 652492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8307 + ... + 8653.

It is an arithmetic number, because the mean of its divisors is an integer number (147987).

22942560 is an apocalyptic number.

2942560 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 2942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551688).

2942560 is an abundant number, since it is smaller than the sum of its proper divisors (4160816).

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

2942560 is a wasteful number, since it uses less digits than its factorization.

2942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2942560 is about 1715.3891686728. The cubic root of 2942560 is about 143.2985433261.

The spelling of 2942560 in words is "two million, nine hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 347 424 530 694 848 1060 1388 1696 1735 2120 2776 3470 4240 5552 6940 8480 11104 13880 18391 27760 36782 55520 73564 91955 147128 183910 294256 367820 588512 735640 1471280 2942560