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2560673060 = 22511371272477
BaseRepresentation
bin1001100010100000…
…1100010100100100
320121110100200001222
42120220030110210
520221013014220
61102032035512
7120312235061
oct23050142444
96543320058
102560673060
1110a4484630
125b5692b98
1331a68387a
141a4125c68
15eec12e25
hex98a0c524

2560673060 has 96 divisors (see below), whose sum is σ = 6074707968. Its totient is φ = 898490880.

The previous prime is 2560673051. The next prime is 2560673131. The reversal of 2560673060 is 603760652.

It is a self number, because there is not a number n which added to its sum of digits gives 2560673060.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032542 + ... + 1035018.

It is an arithmetic number, because the mean of its divisors is an integer number (63278208).

Almost surely, 22560673060 is an apocalyptic number.

2560673060 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 2560673060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037353984).

2560673060 is an abundant number, since it is smaller than the sum of its proper divisors (3514034908).

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

2560673060 is a wasteful number, since it uses less digits than its factorization.

2560673060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 2560673060 is about 50603.0933837053. The cubic root of 2560673060 is about 1368.1006339623.

The spelling of 2560673060 in words is "two billion, five hundred sixty million, six hundred seventy-three thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 127 148 185 220 254 370 407 508 635 740 814 1270 1397 1628 2035 2477 2540 2794 4070 4699 4954 5588 6985 8140 9398 9908 12385 13970 18796 23495 24770 27247 27940 46990 49540 51689 54494 91649 93980 103378 108988 136235 183298 206756 258445 272470 314579 366596 458245 516890 544940 629158 916490 1008139 1033780 1258316 1572895 1832980 2016278 3145790 3460369 4032556 5040695 6291580 6920738 10081390 11639423 13841476 17301845 20162780 23278846 34603690 46557692 58197115 69207380 116394230 128033653 232788460 256067306 512134612 640168265 1280336530 2560673060