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12775950 = 23252112989
BaseRepresentation
bin110000101111…
…001000001110
3220001002022100
4300233020032
511232312300
61133455530
7213410445
oct60571016
926032270
1012775950
117236840
1243415a6
132854245
1419a7d5c
1511c5700
hexc2f20e

12775950 has 144 divisors (see below), whose sum is σ = 39171600. Its totient is φ = 2956800.

The previous prime is 12775943. The next prime is 12775951. The reversal of 12775950 is 5957721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12775951) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 143506 + ... + 143594.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

Almost surely, 212775950 is an apocalyptic number.

12775950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12775950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585800).

12775950 is an abundant number, since it is smaller than the sum of its proper divisors (26395650).

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

12775950 is a wasteful number, since it uses less digits than its factorization.

12775950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 12775950 is about 3574.3460940429. The cubic root of 12775950 is about 233.7748217324.

It can be divided in two parts, 1277 and 5950, that added together give a palindrome (7227).

The spelling of 12775950 in words is "twelve million, seven hundred seventy-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 29 30 33 45 50 55 58 66 75 87 89 90 99 110 145 150 165 174 178 198 225 261 267 275 290 319 330 435 445 450 495 522 534 550 638 725 801 825 870 890 957 979 990 1305 1335 1450 1595 1602 1650 1914 1958 2175 2225 2475 2581 2610 2670 2871 2937 3190 4005 4350 4450 4785 4895 4950 5162 5742 5874 6525 6675 7743 7975 8010 8811 9570 9790 12905 13050 13350 14355 14685 15486 15950 17622 20025 23229 23925 24475 25810 28391 28710 29370 38715 40050 44055 46458 47850 48950 56782 64525 71775 73425 77430 85173 88110 116145 129050 141955 143550 146850 170346 193575 220275 232290 255519 283910 387150 425865 440550 511038 580725 709775 851730 1161450 1277595 1419550 2129325 2555190 4258650 6387975 12775950