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1073407040 = 2653354397
BaseRepresentation
bin111111111110101…
…110010001000000
32202210210201122022
4333332232101000
54144243011130
6254302501012
735412544406
oct7776562100
92683721568
101073407040
11500a01662
1225b594768
131414cc6c4
14a27b9476
15643817e5
hex3ffae440

1073407040 has 28 divisors (see below), whose sum is σ = 2556051276. Its totient is φ = 429362688.

The previous prime is 1073407031. The next prime is 1073407087. The reversal of 1073407040 is 407043701.

It can be written as a sum of positive squares in 2 ways, for example, as 151191616 + 922215424 = 12296^2 + 30368^2 .

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 3 ways as a sum of consecutive naturals, for example, 1676879 + ... + 1677518.

Almost surely, 21073407040 is an apocalyptic number.

1073407040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1073407040 is an abundant number, since it is smaller than the sum of its proper divisors (1482644236).

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

1073407040 is an equidigital number, since it uses as much as digits as its factorization.

1073407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354414 (or 3354404 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 1073407040 is about 32762.8912033111. The cubic root of 1073407040 is about 1023.8935639698.

The spelling of 1073407040 in words is "one billion, seventy-three million, four hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3354397 6708794 13417588 16771985 26835176 33543970 53670352 67087940 107340704 134175880 214681408 268351760 536703520 1073407040