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1082426100 = 2235274311987
BaseRepresentation
bin100000010000100…
…1000001011110100
32210102202221110120
41000201020023310
54204100113400
6255224051540
735552320140
oct10041101364
92712687416
101082426100
11506001828
12262603bb0
13143339922
14a3a86220
1565063ca0
hex408482f4

1082426100 has 144 divisors (see below), whose sum is σ = 3662765568. Its totient is φ = 241637760.

The previous prime is 1082426089. The next prime is 1082426171. The reversal of 1082426100 is 16242801.

It is a super-2 number, since 2×10824261002 = 2343292523922420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84307 + ... + 96293.

It is an arithmetic number, because the mean of its divisors is an integer number (25435872).

Almost surely, 21082426100 is an apocalyptic number.

1082426100 is a gapful number since it is divisible by the number (10) 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 1082426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831382784).

1082426100 is an abundant number, since it is smaller than the sum of its proper divisors (2580339468).

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

1082426100 is a wasteful number, since it uses less digits than its factorization.

1082426100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12054 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1082426100 is about 32900.2446799412. The cubic root of 1082426100 is about 1026.7532476504.

Adding to 1082426100 its reverse (16242801), we get a palindrome (1098668901).

The spelling of 1082426100 in words is "one billion, eighty-two million, four hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 11987 12900 15050 18060 22575 23974 30100 35961 45150 47948 59935 71922 83909 90300 119870 143844 167818 179805 239740 251727 299675 335636 359610 419545 503454 515441 599350 719220 839090 899025 1006908 1030882 1198700 1258635 1546323 1678180 1798050 2061764 2097725 2517270 2577205 3092646 3596100 3608087 4195450 5034540 5154410 6185292 6293175 7216174 7731615 8390900 10308820 10824261 12586350 12886025 14432348 15463230 18040435 21648522 25172700 25772050 30926460 36080870 38658075 43297044 51544100 54121305 72161740 77316150 90202175 108242610 154632300 180404350 216485220 270606525 360808700 541213050 1082426100