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2130804 = 22321329157
BaseRepresentation
bin1000001000001101110100
311000020220200
420020031310
51021141204
6113400500
724053154
oct10101564
94006820
102130804
1112259a5
12869130
13597b40
143d6764
152c1539
hex208374

2130804 has 72 divisors (see below), whose sum is σ = 6038760. Its totient is φ = 628992.

The previous prime is 2130803. The next prime is 2130809. The reversal of 2130804 is 4080312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22500 + 2108304 = 150^2 + 1452^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13494 + ... + 13650.

22130804 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 2130804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019380).

2130804 is an abundant number, since it is smaller than the sum of its proper divisors (3907956).

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

2130804 is a wasteful number, since it uses less digits than its factorization.

2130804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2130804 is about 1459.7273718061. The cubic root of 2130804 is about 128.6810219008.

The spelling of 2130804 in words is "two million, one hundred thirty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 157 174 234 261 314 348 377 468 471 522 628 754 942 1044 1131 1413 1508 1884 2041 2262 2826 3393 4082 4524 4553 5652 6123 6786 8164 9106 12246 13572 13659 18212 18369 24492 27318 36738 40977 54636 59189 73476 81954 118378 163908 177567 236756 355134 532701 710268 1065402 2130804