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2121642 = 232311379
BaseRepresentation
bin1000000101111110101010
310222210100100
420011332222
51020343032
6113250230
724014355
oct10057652
93883310
102121642
11121a026
12863976
13593913
143d329c
152bd97c
hex205faa

2121642 has 24 divisors (see below), whose sum is σ = 4623840. Its totient is φ = 703080.

The previous prime is 2121631. The next prime is 2121653. The reversal of 2121642 is 2461212.

2121642 is a `hidden beast` number, since 2 + 1 + 21 + 642 = 666.

2121642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2121631) and next prime (2121653).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5409 + ... + 5787.

It is an arithmetic number, because the mean of its divisors is an integer number (192660).

22121642 is an apocalyptic number.

2121642 is an abundant number, since it is smaller than the sum of its proper divisors (2502198).

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

2121642 is a wasteful number, since it uses less digits than its factorization.

2121642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 695 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2121642 is about 1456.5857338310. The cubic root of 2121642 is about 128.4963233314.

Adding to 2121642 its reverse (2461212), we get a palindrome (4582854).

The spelling of 2121642 in words is "two million, one hundred twenty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 311 379 622 758 933 1137 1866 2274 2799 3411 5598 6822 117869 235738 353607 707214 1060821 2121642