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2152404 = 2232173517
BaseRepresentation
bin1000001101011111010100
311001100112200
420031133110
51022334104
6114044500
724203142
oct10153724
94040480
102152404
111240151
12879730
135a4917
14400592
152c7b39
hex20d7d4

2152404 has 36 divisors (see below), whose sum is σ = 5762484. Its totient is φ = 675072.

The previous prime is 2152399. The next prime is 2152427. The reversal of 2152404 is 4042512.

2152404 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 248004 = 1380^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 3.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1147 + ... + 2370.

It is an arithmetic number, because the mean of its divisors is an integer number (160069).

22152404 is an apocalyptic number.

It is an amenable number.

2152404 is an abundant number, since it is smaller than the sum of its proper divisors (3610080).

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

2152404 is a wasteful number, since it uses less digits than its factorization.

2152404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2152404 is about 1467.1073580349. The cubic root of 2152404 is about 129.1143748557.

Adding to 2152404 its reverse (4042512), we get a palindrome (6194916).

It can be divided in two parts, 2152 and 404, that added together give a triangular number (2556 = T71).

The spelling of 2152404 in words is "two million, one hundred fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3517 7034 10551 14068 21102 31653 42204 59789 63306 119578 126612 179367 239156 358734 538101 717468 1076202 2152404