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2800530 = 232529237
BaseRepresentation
bin1010101011101110010010
312021021121100
422223232102
51204104110
6140005230
732542545
oct12535622
95237540
102800530
111643097
12b30816
13770925
1452c85c
153a4bc0
hex2abb92

2800530 has 72 divisors (see below), whose sum is σ = 7744932. Its totient is φ = 701568.

The previous prime is 2800519. The next prime is 2800531. The reversal of 2800530 is 350082.

It can be written as a sum of positive squares in 6 ways, for example, as 1896129 + 904401 = 1377^2 + 951^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2800531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75672 + ... + 75708.

22800530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2800530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872466).

2800530 is an abundant number, since it is smaller than the sum of its proper divisors (4944402).

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

2800530 is a wasteful number, since it uses less digits than its factorization.

2800530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2800530 is about 1673.4784133654. The cubic root of 2800530 is about 140.9548671001.

The spelling of 2800530 in words is "two million, eight hundred thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 841 870 1073 1110 1305 1665 1682 2146 2523 2610 3219 3330 4205 5046 5365 6438 7569 8410 9657 10730 12615 15138 16095 19314 25230 31117 32190 37845 48285 62234 75690 93351 96570 155585 186702 280053 311170 466755 560106 933510 1400265 2800530