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1640106104 = 237133760889
BaseRepresentation
bin110000111000010…
…0000100001111000
311020022011000121112
41201300200201320
511324331343404
6430425055452
755433446310
oct14160404170
94208130545
101640106104
11771884a9a
12399327588
13201a389b0
14117b74440
1598ec256e
hex61c20878

1640106104 has 64 divisors (see below), whose sum is σ = 3887217600. Its totient is φ = 631286784.

The previous prime is 1640106101. The next prime is 1640106133. The reversal of 1640106104 is 4016010461.

It is a self number, because there is not a number n which added to its sum of digits gives 1640106104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640106101) 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 15 ways as a sum of consecutive naturals, for example, 3509 + ... + 57380.

It is an arithmetic number, because the mean of its divisors is an integer number (60737775).

Almost surely, 21640106104 is an apocalyptic number.

1640106104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640106104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943608800).

1640106104 is an abundant number, since it is smaller than the sum of its proper divisors (2247111496).

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

1640106104 is a wasteful number, since it uses less digits than its factorization.

1640106104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60952 (or 60948 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1640106104 is about 40498.2234672090. The cubic root of 1640106104 is about 1179.2991394898.

Adding to 1640106104 its reverse (4016010461), we get a palindrome (5656116565).

The spelling of 1640106104 in words is "one billion, six hundred forty million, one hundred six thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 296 364 481 518 728 962 1036 1924 2072 3367 3848 6734 13468 26936 60889 121778 243556 426223 487112 791557 852446 1583114 1704892 2252893 3166228 3409784 4505786 5540899 6332456 9011572 11081798 15770251 18023144 22163596 29287609 31540502 44327192 58575218 63081004 117150436 126162008 205013263 234300872 410026526 820053052 1640106104