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2142088 = 231343479
BaseRepresentation
bin1000001010111110001000
311000211101121
420022332020
51022021323
6113525024
724131104
oct10127610
94024347
102142088
111233423
12873774
135a0010
143da904
152c4a5d
hex20af88

2142088 has 32 divisors (see below), whose sum is σ = 4435200. Its totient is φ = 963648.

The previous prime is 2142083. The next prime is 2142097. The reversal of 2142088 is 8802412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142083) 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, 4233 + ... + 4711.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

22142088 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 2142088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217600).

2142088 is an abundant number, since it is smaller than the sum of its proper divisors (2293112).

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

2142088 is a wasteful number, since it uses less digits than its factorization.

2142088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2142088 is about 1463.5873735449. The cubic root of 2142088 is about 128.9077721485.

The spelling of 2142088 in words is "two million, one hundred forty-two thousand, eighty-eight".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 479 559 958 1118 1916 2236 3832 4472 6227 12454 20597 24908 41194 49816 82388 164776 267761 535522 1071044 2142088