Search a number
-
+
820003722 = 23438113919
BaseRepresentation
bin110000111000000…
…100001110001010
32010010222111122020
4300320010032022
53134410104342
6213211305310
726214626256
oct6070041612
92103874566
10820003722
11390963a2a
121aa74b236
13100b67c05
147ac95266
154bec90ec
hex30e0438a

820003722 has 32 divisors (see below), whose sum is σ = 1680645120. Its totient is φ = 266580720.

The previous prime is 820003711. The next prime is 820003741. The reversal of 820003722 is 227300028.

It is a super-2 number, since 2×8200037222 = 1344812208187706568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820003692 and 820003701.

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 15 ways as a sum of consecutive naturals, for example, 207279 + ... + 211197.

It is an arithmetic number, because the mean of its divisors is an integer number (52520160).

Almost surely, 2820003722 is an apocalyptic number.

820003722 is an abundant number, since it is smaller than the sum of its proper divisors (860641398).

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

820003722 is a wasteful number, since it uses less digits than its factorization.

820003722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 820003722 is about 28635.7071154180. The cubic root of 820003722 is about 935.9915784727.

The spelling of 820003722 in words is "eight hundred twenty million, three thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 43 86 129 258 811 1622 2433 3919 4866 7838 11757 23514 34873 69746 104619 168517 209238 337034 505551 1011102 3178309 6356618 9534927 19069854 136667287 273334574 410001861 820003722