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2137125 = 35341139
BaseRepresentation
bin1000001001110000100101
311000120120210
420021300211
51021342000
6113450033
724110454
oct10116045
94016523
102137125
11122a721
12870919
1359a993
143d8b9b
152c3350
hex209c25

2137125 has 32 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 1104000.

The previous prime is 2137123. The next prime is 2137133. The reversal of 2137125 is 5217312.

It is not a de Polignac number, because 2137125 - 21 = 2137123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15306 + ... + 15444.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

22137125 is an apocalyptic number.

2137125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2137125 is a deficient number, since it is larger than the sum of its proper divisors (1531995).

2137125 is a wasteful number, since it uses less digits than its factorization.

2137125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 2137125 is about 1461.8908988020. The cubic root of 2137125 is about 128.8081397644.

The spelling of 2137125 in words is "two million, one hundred thirty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 125 139 205 375 417 615 695 1025 2085 3075 3475 5125 5699 10425 15375 17097 17375 28495 52125 85485 142475 427425 712375 2137125