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1640105364 = 2233759137457
BaseRepresentation
bin110000111000010…
…0000010110010100
311020022010222121010
41201300200112110
511324331332424
6430425052220
755433444202
oct14160402624
94208128533
101640105364
11771884487
12399327070
13201a38561
14117b74072
1598ec2229
hex61c20594

1640105364 has 96 divisors (see below), whose sum is σ = 4034943360. Its totient is φ = 517957632.

The previous prime is 1640105351. The next prime is 1640105371. The reversal of 1640105364 is 4635010461.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3588624 + ... + 3589080.

It is an arithmetic number, because the mean of its divisors is an integer number (42030660).

Almost surely, 21640105364 is an apocalyptic number.

It is an amenable number.

1640105364 is an abundant number, since it is smaller than the sum of its proper divisors (2394837996).

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

1640105364 is a wasteful number, since it uses less digits than its factorization.

1640105364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1640105364 is about 40498.2143310048. The cubic root of 1640105364 is about 1179.2989621270.

The spelling of 1640105364 in words is "one billion, six hundred forty million, one hundred five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 37 59 74 111 118 137 148 177 222 236 274 354 411 444 457 548 708 822 914 1371 1644 1828 2183 2742 4366 5069 5484 6549 8083 8732 10138 13098 15207 16166 16909 20276 24249 26196 26963 30414 32332 33818 48498 50727 53926 60828 62609 67636 80889 96996 101454 107852 125218 161778 187827 202908 250436 299071 323556 375654 598142 751308 897213 997631 1196284 1794426 1995262 2316533 2992893 3588852 3693931 3990524 4633066 5985786 6949599 7387862 9266132 11081793 11971572 13899198 14775724 22163586 27798396 44327172 136675447 273350894 410026341 546701788 820052682 1640105364