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2142315 = 33572267
BaseRepresentation
bin1000001011000001101011
311000211201000
420023001223
51022023230
6113530043
724131550
oct10130153
94024630
102142315
11123360a
12873923
135a0156
143daa27
152c4b60
hex20b06b

2142315 has 32 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 978912.

The previous prime is 2142299. The next prime is 2142341. The reversal of 2142315 is 5132412.

It is not a de Polignac number, because 2142315 - 24 = 2142299 is a prime.

2142315 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

22142315 is an apocalyptic number.

2142315 is an abundant number, since it is smaller than the sum of its proper divisors (2212245).

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

2142315 is a wasteful number, since it uses less digits than its factorization.

2142315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2282 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2142315 is about 1463.6649206700. The cubic root of 2142315 is about 128.9123254988.

Adding to 2142315 its reverse (5132412), we get a palindrome (7274727).

The spelling of 2142315 in words is "two million, one hundred forty-two thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2267 6801 11335 15869 20403 34005 47607 61209 79345 102015 142821 238035 306045 428463 714105 2142315