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2137065 = 35720353
BaseRepresentation
bin1000001001101111101001
311000120111120
420021233221
51021341230
6113445453
724110340
oct10115751
94016446
102137065
11122a677
12870889
1359a948
143d8b57
152c3310
hex209be9

2137065 has 16 divisors (see below), whose sum is σ = 3907968. Its totient is φ = 976896.

The previous prime is 2137049. The next prime is 2137073. The reversal of 2137065 is 5607312.

2137065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2137065 - 24 = 2137049 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 10072 + ... + 10281.

It is an arithmetic number, because the mean of its divisors is an integer number (244248).

22137065 is an apocalyptic number.

It is an amenable number.

2137065 is a deficient number, since it is larger than the sum of its proper divisors (1770903).

2137065 is a wasteful number, since it uses less digits than its factorization.

2137065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20368.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 2137065 is about 1461.8703772907. The cubic root of 2137065 is about 128.8069343193.

The spelling of 2137065 in words is "two million, one hundred thirty-seven thousand, sixty-five".

Divisors: 1 3 5 7 15 21 35 105 20353 61059 101765 142471 305295 427413 712355 2137065