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1027864040 = 23574617963
BaseRepresentation
bin111101010000111…
…111010111101000
32122122002220101112
4331100333113220
54101113122130
6245554405452
734320462110
oct7520772750
92578086345
101027864040
11488225515
12248290888
13134c44b98
149a722040
1560387495
hex3d43f5e8

1027864040 has 64 divisors (see below), whose sum is σ = 2649144960. Its totient is φ = 351601920.

The previous prime is 1027864039. The next prime is 1027864049. The reversal of 1027864040 is 404687201.

It is a junction number, because it is equal to n+sod(n) for n = 1027863988 and 1027864006.

It is not an unprimeable number, because it can be changed into a prime (1027864049) 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, 125099 + ... + 133061.

It is an arithmetic number, because the mean of its divisors is an integer number (41392890).

Almost surely, 21027864040 is an apocalyptic number.

1027864040 is a gapful number since it is divisible by the number (10) 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 1027864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324572480).

1027864040 is an abundant number, since it is smaller than the sum of its proper divisors (1621280920).

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

1027864040 is a wasteful number, since it uses less digits than its factorization.

1027864040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1027864040 is about 32060.3187757078. The cubic root of 1027864040 is about 1009.2030572491.

The spelling of 1027864040 in words is "one billion, twenty-seven million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 461 922 1844 2305 3227 3688 4610 6454 7963 9220 12908 15926 16135 18440 25816 31852 32270 39815 55741 63704 64540 79630 111482 129080 159260 222964 278705 318520 445928 557410 1114820 2229640 3670943 7341886 14683772 18354715 25696601 29367544 36709430 51393202 73418860 102786404 128483005 146837720 205572808 256966010 513932020 1027864040