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2130828 = 223725367
BaseRepresentation
bin1000001000001110001100
311000020221120
420020032030
51021141303
6113400540
724053220
oct10101614
94006846
102130828
111225a17
12869150
13597b5b
143d6780
152c1553
hex20838c

2130828 has 24 divisors (see below), whose sum is σ = 5682432. Its totient is φ = 608784.

The previous prime is 2130809. The next prime is 2130853. The reversal of 2130828 is 8280312.

It is a super-4 number, since 4×21308284 (a number of 26 digits) contains 4444 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2130798 and 2130807.

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, 12600 + ... + 12767.

It is an arithmetic number, because the mean of its divisors is an integer number (236768).

22130828 is an apocalyptic number.

2130828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2130828 is an abundant number, since it is smaller than the sum of its proper divisors (3551604).

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

2130828 is a wasteful number, since it uses less digits than its factorization.

2130828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25381 (or 25379 counting only the distinct ones).

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

The square root of 2130828 is about 1459.7355924961. The cubic root of 2130828 is about 128.6815050257.

The spelling of 2130828 in words is "two million, one hundred thirty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 25367 50734 76101 101468 152202 177569 304404 355138 532707 710276 1065414 2130828