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2642076 = 223279929
BaseRepresentation
bin1010000101000010011100
311222020020200
422011002130
51134021301
6132343500
731312563
oct12050234
94866220
102642076
111545038
12a74b90
13716778
144cabda
15372c86
hex28509c

2642076 has 36 divisors (see below), whose sum is σ = 6770400. Its totient is φ = 868608.

The previous prime is 2642063. The next prime is 2642077. The reversal of 2642076 is 6702462.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2380 + ... + 3308.

22642076 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 2642076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200).

2642076 is an abundant number, since it is smaller than the sum of its proper divisors (4128324).

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

2642076 is a wasteful number, since it uses less digits than its factorization.

2642076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2642076 is about 1625.4464002236. The cubic root of 2642076 is about 138.2446824787.

The spelling of 2642076 in words is "two million, six hundred forty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 929 948 1422 1858 2787 2844 3716 5574 8361 11148 16722 33444 73391 146782 220173 293564 440346 660519 880692 1321038 2642076