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2142972 = 22321319241
BaseRepresentation
bin1000001011001011111100
311000212121100
420023023330
51022033342
6113533100
724133506
oct10131374
94025540
102142972
111234057
12874190
135a0540
143dad76
152c4e4c
hex20b2fc

2142972 has 72 divisors (see below), whose sum is σ = 6166160. Its totient is φ = 622080.

The previous prime is 2142971. The next prime is 2143019. The reversal of 2142972 is 2792412.

2142972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8772 + ... + 9012.

22142972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083080).

2142972 is an abundant number, since it is smaller than the sum of its proper divisors (4023188).

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

2142972 is a wasteful number, since it uses less digits than its factorization.

2142972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 278 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2142972 is about 1463.8893400800. The cubic root of 2142972 is about 128.9255023256.

The spelling of 2142972 in words is "two million, one hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 241 247 342 468 482 494 684 723 741 964 988 1446 1482 2169 2223 2892 2964 3133 4338 4446 4579 6266 8676 8892 9158 9399 12532 13737 18316 18798 27474 28197 37596 41211 54948 56394 59527 82422 112788 119054 164844 178581 238108 357162 535743 714324 1071486 2142972