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1071642640 = 24513395533
BaseRepresentation
bin111111110111111…
…111100000010000
32202200111002100011
4333313333200100
54143320031030
6254201004304
735361545365
oct7767774020
92680432304
101071642640
114aaa06a82
1225aa83694
13141032593
14a247a46c
1564133b2a
hex3fdff810

1071642640 has 20 divisors (see below), whose sum is σ = 2491569324. Its totient is φ = 428657024.

The previous prime is 1071642613. The next prime is 1071642641. The reversal of 1071642640 is 462461701.

It can be written as a sum of positive squares in 2 ways, for example, as 504631296 + 567011344 = 22464^2 + 23812^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10716426402 = 2296835895732339200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071642641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6697687 + ... + 6697846.

Almost surely, 21071642640 is an apocalyptic number.

1071642640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071642640 is an abundant number, since it is smaller than the sum of its proper divisors (1419926684).

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

1071642640 is a wasteful number, since it uses less digits than its factorization.

1071642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13395546 (or 13395540 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1071642640 is about 32735.9533235249. The cubic root of 1071642640 is about 1023.3322520357.

The spelling of 1071642640 in words is "one billion, seventy-one million, six hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13395533 26791066 53582132 66977665 107164264 133955330 214328528 267910660 535821320 1071642640