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103230144 = 2632277647
BaseRepresentation
bin1100010011100…
…10101011000000
321012020122010200
412021302223000
5202411331034
614124325200
72362304343
oct611625300
9235218120
10103230144
11532a8376
122a6a3800
1318504b34
14d9d245a
1590e1a99
hex6272ac0

103230144 has 84 divisors (see below), whose sum is σ = 297417744. Its totient is φ = 34232832.

The previous prime is 103230131. The next prime is 103230161. The reversal of 103230144 is 441032301.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 159229 + ... + 159875.

Almost surely, 2103230144 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 103230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148708872).

103230144 is an abundant number, since it is smaller than the sum of its proper divisors (194187600).

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

103230144 is a wasteful number, since it uses less digits than its factorization.

103230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103230144 is about 10160.2236195863. The cubic root of 103230144 is about 469.1036848545.

Adding to 103230144 its reverse (441032301), we get a palindrome (544262445).

The spelling of 103230144 in words is "one hundred three million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 277 288 554 576 647 831 1108 1294 1662 1941 2216 2493 2588 3324 3882 4432 4986 5176 5823 6648 7764 8864 9972 10352 11646 13296 15528 17728 19944 20704 23292 26592 31056 39888 41408 46584 53184 62112 79776 93168 124224 159552 179219 186336 358438 372672 537657 716876 1075314 1433752 1612971 2150628 2867504 3225942 4301256 5735008 6451884 8602512 11470016 12903768 17205024 25807536 34410048 51615072 103230144