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2142592 = 2719881
BaseRepresentation
bin1000001011000110000000
311000212002021
420023012000
51022030332
6113531224
724132424
oct10130600
94025067
102142592
111233841
12873b14
135a030a
143dab84
152c4c97
hex20b180

2142592 has 32 divisors (see below), whose sum is σ = 4498200. Its totient is φ = 1013760.

The previous prime is 2142587. The next prime is 2142601. The reversal of 2142592 is 2952412.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1992 + ... + 2872.

22142592 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 2142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249100).

2142592 is an abundant number, since it is smaller than the sum of its proper divisors (2355608).

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

2142592 is an equidigital number, since it uses as much as digits as its factorization.

2142592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 2142592 is about 1463.7595430944. The cubic root of 2142592 is about 128.9178813539.

The spelling of 2142592 in words is "two million, one hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 881 1216 1762 2432 3524 7048 14096 16739 28192 33478 56384 66956 112768 133912 267824 535648 1071296 2142592