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6052000 = 25531789
BaseRepresentation
bin10111000101100010100000
3102101110210011
4113011202200
53022131000
6333414304
7102304213
oct27054240
912343704
106052000
113463a59
12203a394
13133b886
14b3777a
157e82ba
hex5c58a0

6052000 has 96 divisors (see below), whose sum is σ = 15921360. Its totient is φ = 2252800.

The previous prime is 6051977. The next prime is 6052003. The reversal of 6052000 is 2506.

It can be written as a sum of positive squares in 8 ways, for example, as 156816 + 5895184 = 396^2 + 2428^2 .

It is not an unprimeable number, because it can be changed into a prime (6052003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67956 + ... + 68044.

Almost surely, 26052000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960680).

6052000 is an abundant number, since it is smaller than the sum of its proper divisors (9869360).

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

6052000 is a wasteful number, since it uses less digits than its factorization.

6052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 6052000 is about 2460.0812994696. The cubic root of 6052000 is about 182.2354959815.

Adding to 6052000 its reverse (2506), we get a palindrome (6054506).

It can be divided in two parts, 605 and 2000, that multiplied together give a square (1210000 = 11002).

The spelling of 6052000 in words is "six million, fifty-two thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 89 100 125 136 160 170 178 200 250 272 340 356 400 425 445 500 544 680 712 800 850 890 1000 1360 1424 1513 1700 1780 2000 2125 2225 2720 2848 3026 3400 3560 4000 4250 4450 6052 6800 7120 7565 8500 8900 11125 12104 13600 14240 15130 17000 17800 22250 24208 30260 34000 35600 37825 44500 48416 60520 68000 71200 75650 89000 121040 151300 178000 189125 242080 302600 356000 378250 605200 756500 1210400 1513000 3026000 6052000