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2137075 = 52731171
BaseRepresentation
bin1000001001101111110011
311000120111221
420021233303
51021341300
6113445511
724110353
oct10115763
94016457
102137075
11122a686
12870897
1359a955
143d8b63
152c331a
hex209bf3

2137075 has 12 divisors (see below), whose sum is σ = 2688568. Its totient is φ = 1684800.

The previous prime is 2137073. The next prime is 2137117. The reversal of 2137075 is 5707312.

It is not a de Polignac number, because 2137075 - 21 = 2137073 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

2137075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2137073) 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, 1240 + ... + 2410.

22137075 is an apocalyptic number.

2137075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2137075 is a deficient number, since it is larger than the sum of its proper divisors (551493).

2137075 is a wasteful number, since it uses less digits than its factorization.

2137075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 2137075 is about 1461.8737975626. The cubic root of 2137075 is about 128.8071352283.

The spelling of 2137075 in words is "two million, one hundred thirty-seven thousand, seventy-five".

Divisors: 1 5 25 73 365 1171 1825 5855 29275 85483 427415 2137075