Search a number
-
+
2132273 = 111323137
BaseRepresentation
bin1000001000100100110001
311000022221002
420020210301
51021213043
6113411345
724060353
oct10104461
94008832
102132273
111227010
12869b55
13598700
143d70d3
152c1bb8
hex208931

2132273 has 24 divisors (see below), whose sum is σ = 2670336. Its totient is φ = 1684800.

The previous prime is 2132267. The next prime is 2132279. The reversal of 2132273 is 3722312.

It is an interprime number because it is at equal distance from previous prime (2132267) and next prime (2132279).

It is not a de Polignac number, because 2132273 - 26 = 2132209 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2132279) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57611 + ... + 57647.

It is an arithmetic number, because the mean of its divisors is an integer number (111264).

22132273 is an apocalyptic number.

It is an amenable number.

2132273 is a deficient number, since it is larger than the sum of its proper divisors (538063).

2132273 is a wasteful number, since it uses less digits than its factorization.

2132273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 2132273 is about 1460.2304612629. The cubic root of 2132273 is about 128.7105864842.

Adding to 2132273 its reverse (3722312), we get a palindrome (5854585).

The spelling of 2132273 in words is "two million, one hundred thirty-two thousand, two hundred seventy-three".

Divisors: 1 11 13 31 37 143 169 341 403 407 481 1147 1859 4433 5239 5291 6253 12617 14911 57629 68783 164021 193843 2132273