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2890125 = 32537367
BaseRepresentation
bin1011000001100110001101
312102211111200
423001212031
51214441000
6141540113
733365010
oct13014615
95384450
102890125
1116a4437
12b74639
137a2644
14553377
153c1500
hex2c198d

2890125 has 48 divisors (see below), whose sum is σ = 5970432. Its totient is φ = 1317600.

The previous prime is 2890117. The next prime is 2890127. The reversal of 2890125 is 5210982.

It is not a de Polignac number, because 2890125 - 23 = 2890117 is a prime.

2890125 is a lucky number.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7692 + ... + 8058.

It is an arithmetic number, because the mean of its divisors is an integer number (124384).

22890125 is an apocalyptic number.

2890125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2890125 is an abundant number, since it is smaller than the sum of its proper divisors (3080307).

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

2890125 is a wasteful number, since it uses less digits than its factorization.

2890125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2890125 is about 1700.0367643083. The cubic root of 2890125 is about 142.4422665480.

The spelling of 2890125 in words is "two million, eight hundred ninety thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 367 375 525 875 1101 1125 1575 1835 2569 2625 3303 5505 7707 7875 9175 12845 16515 23121 27525 38535 45875 64225 82575 115605 137625 192675 321125 412875 578025 963375 2890125