[go: up one dir, main page]

Search a number
-
+
1819136 = 29111719
BaseRepresentation
bin110111100001000000000
310102102101102
412330020000
5431203021
6102553532
721314414
oct6741000
93372342
101819136
111032820
127388a8
134b9017
14354d44
1525e00b
hex1bc200

1819136 has 80 divisors (see below), whose sum is σ = 4419360. Its totient is φ = 737280.

The previous prime is 1819123. The next prime is 1819151. The reversal of 1819136 is 6319181.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1819099 and 1819108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95735 + ... + 95753.

It is an arithmetic number, because the mean of its divisors is an integer number (55242).

21819136 is an apocalyptic number.

1819136 is a gapful number since it is divisible by the number (16) 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 1819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209680).

1819136 is an abundant number, since it is smaller than the sum of its proper divisors (2600224).

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

1819136 is a wasteful number, since it uses less digits than its factorization.

1819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its digits is 1296, while the sum is 29.

The square root of 1819136 is about 1348.7534986053. The cubic root of 1819136 is about 122.0735917191.

The spelling of 1819136 in words is "one million, eight hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 64 68 76 88 128 136 152 176 187 209 256 272 304 323 352 374 418 512 544 608 646 704 748 836 1088 1216 1292 1408 1496 1672 2176 2432 2584 2816 2992 3344 3553 4352 4864 5168 5632 5984 6688 7106 8704 9728 10336 11968 13376 14212 20672 23936 26752 28424 41344 47872 53504 56848 82688 95744 107008 113696 165376 227392 454784 909568 1819136