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1097812640 = 2556861329
BaseRepresentation
bin100000101101111…
…0100101010100000
32211111201122211102
41001123310222200
54222020001030
6300533533532
736130152641
oct10133645240
92744648742
101097812640
11513760981
122677a42a8
131465961a2
14a5b2d6c8
15665a2c45
hex416f4aa0

1097812640 has 24 divisors (see below), whose sum is σ = 2593582740. Its totient is φ = 439124992.

The previous prime is 1097812631. The next prime is 1097812657. The reversal of 1097812640 is 462187901.

It can be written as a sum of positive squares in 2 ways, for example, as 1023232144 + 74580496 = 31988^2 + 8636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1097812594 and 1097812603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3430505 + ... + 3430824.

Almost surely, 21097812640 is an apocalyptic number.

1097812640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1097812640 is an abundant number, since it is smaller than the sum of its proper divisors (1495770100).

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

1097812640 is an equidigital number, since it uses as much as digits as its factorization.

1097812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861344 (or 6861336 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1097812640 is about 33133.2558013848. The cubic root of 1097812640 is about 1031.5954286223.

The spelling of 1097812640 in words is "one billion, ninety-seven million, eight hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6861329 13722658 27445316 34306645 54890632 68613290 109781264 137226580 219562528 274453160 548906320 1097812640