Search a number
-
+
1640704032 = 253311172633
BaseRepresentation
bin110000111001011…
…0010100000100000
311020100021101211000
41201302302200200
511330010012112
6430445552000
755441516452
oct14162624040
94210241730
101640704032
11772153250
12399575600
13201bb7bb6
14117c8c2d2
159908e7dc
hex61cb2820

1640704032 has 96 divisors (see below), whose sum is σ = 5220452160. Its totient is φ = 497180160.

The previous prime is 1640704031. The next prime is 1640704033. The reversal of 1640704032 is 2304070461.

It is an interprime number because it is at equal distance from previous prime (1640704031) and next prime (1640704033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1640703987 and 1640704005.

It is not an unprimeable number, because it can be changed into a prime (1640704031) 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, 76813 + ... + 95820.

It is an arithmetic number, because the mean of its divisors is an integer number (54379710).

Almost surely, 21640704032 is an apocalyptic number.

1640704032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1640704032 is an abundant number, since it is smaller than the sum of its proper divisors (3579748128).

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

1640704032 is a wasteful number, since it uses less digits than its factorization.

1640704032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172663 (or 172649 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1640704032 is about 40505.6049454887. The cubic root of 1640704032 is about 1179.4424331263.

Adding to 1640704032 its reverse (2304070461), we get a palindrome (3944774493).

The spelling of 1640704032 in words is "one billion, six hundred forty million, seven hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 172633 345266 517899 690532 1035798 1381064 1553697 1898963 2071596 2762128 3107394 3797926 4143192 4661091 5524256 5696889 6214788 7595852 8286384 9322182 11393778 12429576 15191704 16572768 17090667 18644364 22787556 24859152 30383408 34181334 37288728 45575112 49718304 51272001 60766816 68362668 74577456 91150224 102544002 136725336 149154912 182300448 205088004 273450672 410176008 546901344 820352016 1640704032