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13098024 = 2334172941
BaseRepresentation
bin110001111101…
…110000101000
3220122110010000
4301331300220
511323114044
61144423000
7216221442
oct61756050
926573100
1013098024
117436815
124477a60
132937a14
141a4d492
15123ad69
hexc7dc28

13098024 has 160 divisors (see below), whose sum is σ = 41164200. Its totient is φ = 3870720.

The previous prime is 13098013. The next prime is 13098061. The reversal of 13098024 is 42089031.

13098024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9922500 + 3175524 = 3150^2 + 1782^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319444 + ... + 319484.

Almost surely, 213098024 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 13098024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582100).

13098024 is an abundant number, since it is smaller than the sum of its proper divisors (28066176).

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

13098024 is a wasteful number, since it uses less digits than its factorization.

13098024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13098024 is about 3619.1192298680. The cubic root of 13098024 is about 235.7229824418.

The spelling of 13098024 in words is "thirteen million, ninety-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 41 51 54 58 68 72 81 82 87 102 108 116 123 136 153 162 164 174 204 216 232 246 261 306 324 328 348 369 408 459 492 493 522 612 648 696 697 738 783 918 984 986 1044 1107 1189 1224 1377 1394 1476 1479 1566 1836 1972 2088 2091 2214 2349 2378 2754 2788 2952 2958 3132 3321 3567 3672 3944 4182 4428 4437 4698 4756 5508 5576 5916 6264 6273 6642 7134 8364 8856 8874 9396 9512 10701 11016 11832 12546 13284 13311 14268 16728 17748 18792 18819 20213 21402 25092 26568 26622 28536 32103 35496 37638 39933 40426 42804 50184 53244 56457 60639 64206 75276 79866 80852 85608 96309 106488 112914 121278 128412 150552 159732 161704 181917 192618 225828 242556 256824 319464 363834 385236 451656 485112 545751 727668 770472 1091502 1455336 1637253 2183004 3274506 4366008 6549012 13098024