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2580786040 = 235743214351
BaseRepresentation
bin1001100111010011…
…1010101101111000
320122212012111220011
42121310322231320
520241140123130
61104031111304
7120645214360
oct23164725570
96585174804
102580786040
111104871828
12600372534
133218a6541
141a6a7d9a0
1510188752a
hex99d3ab78

2580786040 has 64 divisors (see below), whose sum is σ = 6790671360. Its totient is φ = 864259200.

The previous prime is 2580786023. The next prime is 2580786049. The reversal of 2580786040 is 406870852.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2580785984 and 2580786002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580786049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95136 + ... + 119215.

It is an arithmetic number, because the mean of its divisors is an integer number (106104240).

Almost surely, 22580786040 is an apocalyptic number.

2580786040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2580786040 is an abundant number, since it is smaller than the sum of its proper divisors (4209885320).

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

2580786040 is a wasteful number, since it uses less digits than its factorization.

2580786040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214412 (or 214408 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 2580786040 is about 50801.4373812395. The cubic root of 2580786040 is about 1371.6732428255.

The spelling of 2580786040 in words is "two billion, five hundred eighty million, seven hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 12040 214351 428702 857404 1071755 1500457 1714808 2143510 3000914 4287020 6001828 7502285 8574040 9217093 12003656 15004570 18434186 30009140 36868372 46085465 60018280 64519651 73736744 92170930 129039302 184341860 258078604 322598255 368683720 516157208 645196510 1290393020 2580786040