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2025056660 = 22511172918671
BaseRepresentation
bin111100010110011…
…1110100110010100
312020010111112111112
41320230332212110
513121403303120
6532535554152
7101116461164
oct17054764624
95203445445
102025056660
1194a101050
1248622b958
1326370b2a3
14152d3c5a4
15bcbb1bc5
hex78b3e994

2025056660 has 96 divisors (see below), whose sum is σ = 5081771520. Its totient is φ = 669132800.

The previous prime is 2025056629. The next prime is 2025056669. The reversal of 2025056660 is 666505202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025056669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99125 + ... + 117795.

It is an arithmetic number, because the mean of its divisors is an integer number (52935120).

Almost surely, 22025056660 is an apocalyptic number.

2025056660 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 2025056660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540885760).

2025056660 is an abundant number, since it is smaller than the sum of its proper divisors (3056714860).

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

2025056660 is a wasteful number, since it uses less digits than its factorization.

2025056660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18737 (or 18735 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2025056660 is about 45000.6295511518. The cubic root of 2025056660 is about 1265.1607975697.

The spelling of 2025056660 in words is "two billion, twenty-five million, fifty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 29 34 44 55 58 68 85 110 116 145 170 187 220 290 319 340 374 493 580 638 748 935 986 1276 1595 1870 1972 2465 3190 3740 4930 5423 6380 9860 10846 18671 21692 27115 37342 54230 74684 93355 108460 186710 205381 317407 373420 410762 541459 634814 821524 1026905 1082918 1269628 1587035 2053810 2165836 2707295 3174070 3491477 4107620 5414590 5956049 6348140 6982954 9204803 10829180 11912098 13965908 17457385 18409606 23824196 29780245 34914770 36819212 46024015 59560490 69829540 92048030 101252833 119120980 184096060 202505666 405011332 506264165 1012528330 2025056660