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2425360 = 24576171
BaseRepresentation
bin1001010000001000010000
311120012222011
421100020100
51110102420
6123552304
726421010
oct11201020
94505864
102425360
111407233
1298b694
1366bc32
14471c40
1532d95a
hex250210

2425360 has 80 divisors (see below), whose sum is σ = 6642432. Its totient is φ = 806400.

The previous prime is 2425349. The next prime is 2425361. The reversal of 2425360 is 635242.

It is a happy number.

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

It is a super-2 number, since 2×24253602 = 11764742259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2425361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34125 + ... + 34195.

22425360 is an apocalyptic number.

2425360 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 2425360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321216).

2425360 is an abundant number, since it is smaller than the sum of its proper divisors (4217072).

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

2425360 is a wasteful number, since it uses less digits than its factorization.

2425360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2425360 is about 1557.3567349840. The cubic root of 2425360 is about 134.3565170179.

The spelling of 2425360 in words is "two million, four hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 71 80 112 122 140 142 244 280 284 305 355 427 488 497 560 568 610 710 854 976 994 1136 1220 1420 1708 1988 2135 2440 2485 2840 3416 3976 4270 4331 4880 4970 5680 6832 7952 8540 8662 9940 17080 17324 19880 21655 30317 34160 34648 39760 43310 60634 69296 86620 121268 151585 173240 242536 303170 346480 485072 606340 1212680 2425360