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2142824 = 234147139
BaseRepresentation
bin1000001011001001101000
311000212101212
420023021220
51022032244
6113532252
724133205
oct10131150
94025355
102142824
111233a32
12874088
135a0458
143dacac
152c4d9e
hex20b268

2142824 has 32 divisors (see below), whose sum is σ = 4233600. Its totient is φ = 1015680.

The previous prime is 2142823. The next prime is 2142857. The reversal of 2142824 is 4282412.

It is a happy number.

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 2142824.

It is not an unprimeable number, because it can be changed into a prime (2142823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15347 + ... + 15485.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

22142824 is an apocalyptic number.

It is an amenable number.

2142824 is a deficient number, since it is larger than the sum of its proper divisors (2090776).

2142824 is a wasteful number, since it uses less digits than its factorization.

2142824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 2142824 is about 1463.8387889382. The cubic root of 2142824 is about 128.9225342648.

The spelling of 2142824 in words is "two million, one hundred forty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 41 47 82 94 139 164 188 278 328 376 556 1112 1927 3854 5699 6533 7708 11398 13066 15416 22796 26132 45592 52264 267853 535706 1071412 2142824