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1035000440 = 235122321157
BaseRepresentation
bin111101101100001…
…101101001111000
32200010112110200122
4331230031221320
54104430003230
6250411352412
734435233665
oct7554155170
92603473618
101035000440
1149125a171
1224a752708
131365731c6
149b65ca6c
1560ce6be5
hex3db0da78

1035000440 has 32 divisors (see below), whose sum is σ = 2330765280. Its totient is φ = 413642112.

The previous prime is 1035000431. The next prime is 1035000457. The reversal of 1035000440 is 440005301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38342 + ... + 59498.

It is an arithmetic number, because the mean of its divisors is an integer number (72836415).

Almost surely, 21035000440 is an apocalyptic number.

1035000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035000440 is an abundant number, since it is smaller than the sum of its proper divisors (1295764840).

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

1035000440 is a wasteful number, since it uses less digits than its factorization.

1035000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22391 (or 22387 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1035000440 is about 32171.4227226587. The cubic root of 1035000440 is about 1011.5332852907.

Adding to 1035000440 its reverse (440005301), we get a palindrome (1475005741).

The spelling of 1035000440 in words is "one billion, thirty-five million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 1223 2446 4892 6115 9784 12230 21157 24460 42314 48920 84628 105785 169256 211570 423140 846280 25875011 51750022 103500044 129375055 207000088 258750110 517500220 1035000440