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2425560660 = 223359746307
BaseRepresentation
bin1001000010010011…
…0001111001010100
320021001010020201000
42100210301321110
514431420420120
61040404103300
7114051632265
oct22044617124
96231106630
102425560660
111035190696
12578394b30
132c86980c3
141901d496c
15e2e24990
hex90931e54

2425560660 has 96 divisors (see below), whose sum is σ = 7624149120. Its totient is φ = 640134144.

The previous prime is 2425560649. The next prime is 2425560671. The reversal of 2425560660 is 660655242.

2425560660 is a `hidden beast` number, since 2 + 42 + 5 + 5 + 606 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2425560649) and next prime (2425560671).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29227 + ... + 75533.

It is an arithmetic number, because the mean of its divisors is an integer number (79418220).

Almost surely, 22425560660 is an apocalyptic number.

2425560660 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 2425560660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812074560).

2425560660 is an abundant number, since it is smaller than the sum of its proper divisors (5198588460).

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

2425560660 is a wasteful number, since it uses less digits than its factorization.

2425560660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46422 (or 46414 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2425560660 is about 49249.9813197934. The cubic root of 2425560660 is about 1343.6022220470.

The spelling of 2425560660 in words is "two billion, four hundred twenty-five million, five hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 194 270 291 388 485 540 582 873 970 1164 1455 1746 1940 2619 2910 3492 4365 5238 5820 8730 10476 13095 17460 26190 46307 52380 92614 138921 185228 231535 277842 416763 463070 555684 694605 833526 926140 1250289 1389210 1667052 2083815 2500578 2778420 4167630 4491779 5001156 6251445 8335260 8983558 12502890 13475337 17967116 22458895 25005780 26950674 40426011 44917790 53901348 67376685 80852022 89835580 121278033 134753370 161704044 202130055 242556066 269506740 404260110 485112132 606390165 808520220 1212780330 2425560660