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2928200 = 2352114
BaseRepresentation
bin1011001010111001001000
312111202201212
423022321020
51222200300
6142432252
733614012
oct13127110
95452655
102928200
111720000
12b92688
137b6a82
145631b2
153cc935
hex2cae48

2928200 has 60 divisors (see below), whose sum is σ = 7488825. Its totient is φ = 1064800.

The previous prime is 2928181. The next prime is 2928203. The reversal of 2928200 is 28292.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2869636 + 58564 = 1694^2 + 242^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1210.

It is not an unprimeable number, because it can be changed into a prime (2928203) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 266195 + ... + 266205.

22928200 is an apocalyptic number.

2928200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928200

2928200 is an abundant number, since it is smaller than the sum of its proper divisors (4560625).

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

2928200 is an equidigital number, since it uses as much as digits as its factorization.

2928200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2928200 is about 1711.1984104714. The cubic root of 2928200 is about 143.0650591537.

The spelling of 2928200 in words is "two million, nine hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1331 2200 2420 2662 3025 4840 5324 6050 6655 10648 12100 13310 14641 24200 26620 29282 33275 53240 58564 66550 73205 117128 133100 146410 266200 292820 366025 585640 732050 1464100 2928200