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2146672 = 241112197
BaseRepresentation
bin1000001100000101110000
311001001200101
420030011300
51022143142
6114002144
724150343
oct10140560
94031611
102146672
111236910
12876354
135a2128
143dc45a
152c60b7
hex20c170

2146672 has 20 divisors (see below), whose sum is σ = 4537656. Its totient is φ = 975680.

The previous prime is 2146663. The next prime is 2146673. The reversal of 2146672 is 2766412.

It is a d-powerful number, because it can be written as 211 + 1 + 44 + 63 + 66 + 73 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 2146672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146673) 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 3 ways as a sum of consecutive naturals, for example, 5923 + ... + 6274.

22146672 is an apocalyptic number.

2146672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2146672 is an abundant number, since it is smaller than the sum of its proper divisors (2390984).

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

2146672 is a wasteful number, since it uses less digits than its factorization.

2146672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12210 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 2146672 is about 1465.1525517843. The cubic root of 2146672 is about 128.9996594747. Note that the first 3 decimals are identical.

It can be divided in two parts, 214 and 6672, that added together give a palindrome (6886).

The spelling of 2146672 in words is "two million, one hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 12197 24394 48788 97576 134167 195152 268334 536668 1073336 2146672