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2137345 = 5779773
BaseRepresentation
bin1000001001110100000001
311000120212221
420021310001
51021343340
6113451041
724111220
oct10116401
94016787
102137345
11122a901
12870a81
1359ab02
143d8cb7
152c344a
hex209d01

2137345 has 16 divisors (see below), whose sum is σ = 2972160. Its totient is φ = 1445184.

The previous prime is 2137339. The next prime is 2137351. The reversal of 2137345 is 5437312.

It is an interprime number because it is at equal distance from previous prime (2137339) and next prime (2137351).

It is a cyclic number.

It is not a de Polignac number, because 2137345 - 29 = 2136833 is a prime.

It is a d-powerful number, because it can be written as 213 + 1 + 312 + 7 + 313 + 44 + 55 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379 + ... + 3151.

It is an arithmetic number, because the mean of its divisors is an integer number (185760).

22137345 is an apocalyptic number.

It is an amenable number.

2137345 is a deficient number, since it is larger than the sum of its proper divisors (834815).

2137345 is an equidigital number, since it uses as much as digits as its factorization.

2137345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its digits is 2520, while the sum is 25.

The square root of 2137345 is about 1461.9661418788. The cubic root of 2137345 is about 128.8125595368.

The spelling of 2137345 in words is "two million, one hundred thirty-seven thousand, three hundred forty-five".

Divisors: 1 5 7 35 79 395 553 773 2765 3865 5411 27055 61067 305335 427469 2137345