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2146968 = 233229819
BaseRepresentation
bin1000001100001010011000
311001002002100
420030022120
51022200333
6114003400
724151245
oct10141230
94032070
102146968
11123705a
12876560
135a22c5
143dc5cc
152c6213
hex20c298

2146968 has 24 divisors (see below), whose sum is σ = 5814900. Its totient is φ = 715632.

The previous prime is 2146939. The next prime is 2146979. The reversal of 2146968 is 8696412.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 211 + 1 + 45 + 6 + 92 + 66 + 87 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14838 + ... + 14981.

22146968 is an apocalyptic number.

It is an amenable number.

2146968 is an abundant number, since it is smaller than the sum of its proper divisors (3667932).

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

2146968 is a wasteful number, since it uses less digits than its factorization.

2146968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29831 (or 29824 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2146968 is about 1465.2535616746. The cubic root of 2146968 is about 129.0055883644.

The spelling of 2146968 in words is "two million, one hundred forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29819 59638 89457 119276 178914 238552 268371 357828 536742 715656 1073484 2146968