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2138496 = 2735569
BaseRepresentation
bin1000001010000110000000
311000122110120
420022012000
51021412441
6113500240
724114453
oct10120600
94018416
102138496
111230758
12871680
1359b4a9
143d949a
152c3966
hex20a180

2138496 has 32 divisors (see below), whose sum is σ = 5681400. Its totient is φ = 712704.

The previous prime is 2138491. The next prime is 2138501. The reversal of 2138496 is 6948312.

It is an interprime number because it is at equal distance from previous prime (2138491) and next prime (2138501).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2401 + ... + 3168.

22138496 is an apocalyptic number.

It is an amenable number.

2138496 is an abundant number, since it is smaller than the sum of its proper divisors (3542904).

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

2138496 is an equidigital number, since it uses as much as digits as its factorization.

2138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5574 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 2138496 is about 1462.3597368637. The cubic root of 2138496 is about 128.8356780397.

The spelling of 2138496 in words is "two million, one hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5569 11138 16707 22276 33414 44552 66828 89104 133656 178208 267312 356416 534624 712832 1069248 2138496