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2124168 = 233671321
BaseRepresentation
bin1000000110100110001000
310222220210220
420012212020
51020433133
6113310040
724024624
oct10064610
93886726
102124168
111220a12
12865320
13594b07
143d4184
152be5b3
hex206988

2124168 has 32 divisors (see below), whose sum is σ = 5393760. Its totient is φ = 696960.

The previous prime is 2124149. The next prime is 2124173. The reversal of 2124168 is 8614212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 12.

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 7 ways as a sum of consecutive naturals, for example, 948 + ... + 2268.

It is an arithmetic number, because the mean of its divisors is an integer number (168555).

22124168 is an apocalyptic number.

It is an amenable number.

2124168 is an abundant number, since it is smaller than the sum of its proper divisors (3269592).

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

2124168 is a wasteful number, since it uses less digits than its factorization.

2124168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2124168 is about 1457.4525721271. The cubic root of 2124168 is about 128.5472984698.

It can be divided in two parts, 21 and 24168, that multiplied together give a triangular number (507528 = T1007).

The spelling of 2124168 in words is "two million, one hundred twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1321 1608 2642 3963 5284 7926 10568 15852 31704 88507 177014 265521 354028 531042 708056 1062084 2124168