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1027004440 = 235711230313
BaseRepresentation
bin111101001101101…
…101100000011000
32122120111020020111
4331031231200120
54100403120230
6245524134104
734310252020
oct7515554030
92576436214
101027004440
11487798700
12247b37334
13134a03847
149a57aa80
156026792a
hex3d36d818

1027004440 has 96 divisors (see below), whose sum is σ = 2902868640. Its totient is φ = 320094720.

The previous prime is 1027004437. The next prime is 1027004443. The reversal of 1027004440 is 444007201.

1027004440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1027004437) and next prime (1027004443).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027004443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18724 + ... + 49036.

It is an arithmetic number, because the mean of its divisors is an integer number (30238215).

Almost surely, 21027004440 is an apocalyptic number.

1027004440 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 1027004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451434320).

1027004440 is an abundant number, since it is smaller than the sum of its proper divisors (1875864200).

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

1027004440 is a wasteful number, since it uses less digits than its factorization.

1027004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30353 (or 30338 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 1027004440 is about 32046.9099914485. The cubic root of 1027004440 is about 1008.9216474974.

The spelling of 1027004440 in words is "one billion, twenty-seven million, four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 30313 33880 60626 121252 151565 212191 242504 303130 333443 424382 606260 666886 848764 1060955 1212520 1333772 1667215 1697528 2121910 2334101 2667544 3334430 3667873 4243820 4668202 6668860 7335746 8487640 9336404 11670505 13337720 14671492 18339365 18672808 23341010 25675111 29342984 36678730 46682020 51350222 73357460 93364040 102700444 128375555 146714920 205400888 256751110 513502220 1027004440