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15233130 = 23351123223
BaseRepresentation
bin111010000111…
…000001101010
31001122220221000
4322013001222
512344430010
61302255430
7243323313
oct72070152
931586830
1015233130
118664970
125127576
1332047b3
14204760a
15150d7c0
hexe8706a

15233130 has 128 divisors (see below), whose sum is σ = 46448640. Its totient is φ = 3516480.

The previous prime is 15233093. The next prime is 15233203. The reversal of 15233130 is 3133251.

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 63 ways as a sum of consecutive naturals, for example, 68199 + ... + 68421.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 215233130 is an apocalyptic number.

15233130 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 15233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

15233130 is an abundant number, since it is smaller than the sum of its proper divisors (31215510).

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

15233130 is a wasteful number, since it uses less digits than its factorization.

15233130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 15233130 is about 3902.9642580992. The cubic root of 15233130 is about 247.8923071265.

Adding to 15233130 its reverse (3133251), we get a palindrome (18366381).

The spelling of 15233130 in words is "fifteen million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 90 99 110 115 135 138 165 198 207 223 230 253 270 297 330 345 414 446 495 506 594 621 669 690 759 990 1035 1115 1242 1265 1338 1485 1518 2007 2070 2230 2277 2453 2530 2970 3105 3345 3795 4014 4554 4906 5129 6021 6210 6690 6831 7359 7590 10035 10258 11385 12042 12265 13662 14718 15387 20070 22077 22770 24530 25645 30105 30774 34155 36795 44154 46161 51290 56419 60210 66231 68310 73590 76935 92322 110385 112838 132462 138483 153870 169257 220770 230805 276966 282095 331155 338514 461610 507771 564190 662310 692415 846285 1015542 1384830 1523313 1692570 2538855 3046626 5077710 7616565 15233130