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6069312 = 263241257
BaseRepresentation
bin10111001001110001000000
3102102100112100
4113021301000
53023204222
6334030400
7102405534
oct27116100
912370470
106069312
113475a67
122048400
131346712
14b3dbc4
157ed4ac
hex5c9c40

6069312 has 84 divisors (see below), whose sum is σ = 17890236. Its totient is φ = 1966080.

The previous prime is 6069311. The next prime is 6069331. The reversal of 6069312 is 2139606.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 2742336 = 1824^2 + 1656^2 .

It is not an unprimeable number, because it can be changed into a prime (6069311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23488 + ... + 23744.

It is an arithmetic number, because the mean of its divisors is an integer number (212979).

Almost surely, 26069312 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 6069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945118).

6069312 is an abundant number, since it is smaller than the sum of its proper divisors (11820924).

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

6069312 is a wasteful number, since it uses less digits than its factorization.

6069312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6069312 is about 2463.5973697015. The cubic root of 6069312 is about 182.4090946527.

The spelling of 6069312 in words is "six million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 257 288 328 369 492 514 576 656 738 771 984 1028 1312 1476 1542 1968 2056 2313 2624 2952 3084 3936 4112 4626 5904 6168 7872 8224 9252 10537 11808 12336 16448 18504 21074 23616 24672 31611 37008 42148 49344 63222 74016 84296 94833 126444 148032 168592 189666 252888 337184 379332 505776 674368 758664 1011552 1517328 2023104 3034656 6069312