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1107633640 = 235171628873
BaseRepresentation
bin100001000000101…
…0010010111101000
32212012012121201011
41002001102113220
54232023234030
6301524233304
736306505411
oct10201222750
92765177634
101107633640
11519259603
1226ab3b834
13148624429
14a7168808
1567392b2a
hex420525e8

1107633640 has 32 divisors (see below), whose sum is σ = 2638775880. Its totient is φ = 416991232.

The previous prime is 1107633617. The next prime is 1107633647. The reversal of 1107633640 is 463367011.

It can be written as a sum of positive squares in 4 ways, for example, as 750650404 + 356983236 = 27398^2 + 18894^2 .

It is not an unprimeable number, because it can be changed into a prime (1107633647) 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 7 ways as a sum of consecutive naturals, for example, 813757 + ... + 815116.

Almost surely, 21107633640 is an apocalyptic number.

1107633640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1107633640 is an abundant number, since it is smaller than the sum of its proper divisors (1531142240).

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

1107633640 is a wasteful number, since it uses less digits than its factorization.

1107633640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628901 (or 1628897 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 1107633640 is about 33281.1303894564. The cubic root of 1107633640 is about 1034.6625083050.

The spelling of 1107633640 in words is "one billion, one hundred seven million, six hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1628873 3257746 6515492 8144365 13030984 16288730 27690841 32577460 55381682 65154920 110763364 138454205 221526728 276908410 553816820 1107633640