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2940200 = 235261241
BaseRepresentation
bin1011001101110100101000
312112101012022
423031310220
51223041300
6143004012
733664004
oct13156450
95471168
102940200
11172901a
12b99608
137bc383
14567704
153d1285
hex2cdd28

2940200 has 48 divisors (see below), whose sum is σ = 6976860. Its totient is φ = 1152000.

The previous prime is 2940187. The next prime is 2940229. The reversal of 2940200 is 20492.

2940200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 611524 + 2328676 = 782^2 + 1526^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12080 + ... + 12320.

22940200 is an apocalyptic number.

2940200 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 2940200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488430).

2940200 is an abundant number, since it is smaller than the sum of its proper divisors (4036660).

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

2940200 is a wasteful number, since it uses less digits than its factorization.

2940200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2940200 is about 1714.7011401408. The cubic root of 2940200 is about 143.2602235170.

Adding to 2940200 its reverse (20492), we get a palindrome (2960692).

The spelling of 2940200 in words is "two million, nine hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 241 244 305 482 488 610 964 1205 1220 1525 1928 2410 2440 3050 4820 6025 6100 9640 12050 12200 14701 24100 29402 48200 58804 73505 117608 147010 294020 367525 588040 735050 1470100 2940200