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8130804 = 22311311987
BaseRepresentation
bin11111000001000011110100
3120022002100220
4133001003310
54040141204
6450134340
7126052653
oct37010364
916262326
108130804
114653880
1228813b0
1318b8b36
14111919a
15aa91d9
hex7c10f4

8130804 has 48 divisors (see below), whose sum is σ = 21374976. Its totient is φ = 2383200.

The previous prime is 8130797. The next prime is 8130809. The reversal of 8130804 is 4080318.

It is a super-2 number, since 2×81308042 = 132219947372832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130809) by changing a digit.

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, 3099 + ... + 5085.

It is an arithmetic number, because the mean of its divisors is an integer number (445312).

Almost surely, 28130804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687488).

8130804 is an abundant number, since it is smaller than the sum of its proper divisors (13244172).

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

8130804 is a wasteful number, since it uses less digits than its factorization.

8130804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2034 counting only the distinct ones).

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

The square root of 8130804 is about 2851.4564699465. The cubic root of 8130804 is about 201.0841458532.

The spelling of 8130804 in words is "eight million, one hundred thirty thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 1987 2046 3974 4092 5961 7948 11922 21857 23844 43714 61597 65571 87428 123194 131142 184791 246388 262284 369582 677567 739164 1355134 2032701 2710268 4065402 8130804