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1040200785 = 34513197569
BaseRepresentation
bin111110000000000…
…011010001010001
32200111022200020000
4332000003101101
54112242411120
6251115040213
734530363231
oct7600032121
92614280200
101040200785
11494191278
12250440069
13137674230
149c213cc1
15614c2990
hex3e003451

1040200785 has 40 divisors (see below), whose sum is σ = 2008101480. Its totient is φ = 512096256.

The previous prime is 1040200781. The next prime is 1040200787. The reversal of 1040200785 is 5870020401.

It can be written as a sum of positive squares in 4 ways, for example, as 140920641 + 899280144 = 11871^2 + 29988^2 .

It is not a de Polignac number, because 1040200785 - 22 = 1040200781 is a prime.

It is a super-2 number, since 2×10402007852 = 2164035346229232450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1040200781) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 93520 + ... + 104049.

It is an arithmetic number, because the mean of its divisors is an integer number (50202537).

Almost surely, 21040200785 is an apocalyptic number.

1040200785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1040200785 is a deficient number, since it is larger than the sum of its proper divisors (967900695).

1040200785 is a wasteful number, since it uses less digits than its factorization.

1040200785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197599 (or 197590 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1040200785 is about 32252.1438822290. The cubic root of 1040200785 is about 1013.2246006538.

The spelling of 1040200785 in words is "one billion, forty million, two hundred thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 197569 592707 987845 1778121 2568397 2963535 5334363 7705191 8890605 12841985 16003089 23115573 26671815 38525955 69346719 80015445 115577865 208040157 346733595 1040200785