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1085819490 = 232571723523
BaseRepresentation
bin100000010111000…
…0100101001100010
32210200011100022200
41000232010221202
54210432210430
6255424514030
735623212330
oct10056045142
92720140280
101085819490
11507a0a288
1226377b916
13143c57352
14a42cab50
15654d4460
hex40b84a62

1085819490 has 48 divisors (see below), whose sum is σ = 3226436928. Its totient is φ = 248187168.

The previous prime is 1085819477. The next prime is 1085819507. The reversal of 1085819490 is 949185801.

1085819490 is a `hidden beast` number, since 1 + 0 + 85 + 81 + 9 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 861132 + ... + 862391.

It is an arithmetic number, because the mean of its divisors is an integer number (67217436).

Almost surely, 21085819490 is an apocalyptic number.

1085819490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1085819490 is an abundant number, since it is smaller than the sum of its proper divisors (2140617438).

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

1085819490 is a wasteful number, since it uses less digits than its factorization.

1085819490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723543 (or 1723540 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1085819490 is about 32951.7752177330. The cubic root of 1085819490 is about 1027.8250805099.

The spelling of 1085819490 in words is "one billion, eighty-five million, eight hundred nineteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1723523 3447046 5170569 8617615 10341138 12064661 15511707 17235230 24129322 25852845 31023414 36193983 51705690 60323305 72387966 77558535 108581949 120646610 155117070 180969915 217163898 361939830 542909745 1085819490