Search a number
-
+
2131464 = 23388811
BaseRepresentation
bin1000001000011000001000
311000021211010
420020120020
51021201324
6113403520
724055116
oct10103010
94007733
102131464
111226445
128695a0
1359822a
143d6ab6
152c1829
hex208608

2131464 has 16 divisors (see below), whose sum is σ = 5328720. Its totient is φ = 710480.

The previous prime is 2131463. The next prime is 2131469. The reversal of 2131464 is 4641312.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2131464.

It is not an unprimeable number, because it can be changed into a prime (2131463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44382 + ... + 44429.

It is an arithmetic number, because the mean of its divisors is an integer number (333045).

22131464 is an apocalyptic number.

2131464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2131464 is an abundant number, since it is smaller than the sum of its proper divisors (3197256).

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

2131464 is a wasteful number, since it uses less digits than its factorization.

2131464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88820 (or 88816 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2131464 is about 1459.9534239146. The cubic root of 2131464 is about 128.6943065119.

Adding to 2131464 its reverse (4641312), we get a palindrome (6772776).

The spelling of 2131464 in words is "two million, one hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 88811 177622 266433 355244 532866 710488 1065732 2131464