Search a number
-
+
2146431 = 37432377
BaseRepresentation
bin1000001100000001111111
311001001100110
420030001333
51022141211
6114001103
724146550
oct10140177
94031313
102146431
111236711
12876193
135a1ca1
143dc327
152c5ea6
hex20c07f

2146431 has 16 divisors (see below), whose sum is σ = 3348224. Its totient is φ = 1197504.

The previous prime is 2146423. The next prime is 2146433. The reversal of 2146431 is 1346412.

It is not a de Polignac number, because 2146431 - 23 = 2146423 is a prime.

It is a super-2 number, since 2×21464312 = 9214332075522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2146398 and 2146407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286 + ... + 2091.

It is an arithmetic number, because the mean of its divisors is an integer number (209264).

22146431 is an apocalyptic number.

2146431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2146431 is a deficient number, since it is larger than the sum of its proper divisors (1201793).

2146431 is a wasteful number, since it uses less digits than its factorization.

2146431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430.

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

The square root of 2146431 is about 1465.0703054803. The cubic root of 2146431 is about 128.9948318343.

The spelling of 2146431 in words is "two million, one hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 21 43 129 301 903 2377 7131 16639 49917 102211 306633 715477 2146431