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14298570 = 232511213101
BaseRepresentation
bin110110100010…
…110111001010
3222220102221200
4312202313022
512130023240
61230245030
7232351536
oct66426712
928812850
1014298570
118086800
124956776
132c682c0
141c82bc6
1513c6930
hexda2dca

14298570 has 144 divisors (see below), whose sum is σ = 44442216. Its totient is φ = 3168000.

The previous prime is 14298541. The next prime is 14298577. The reversal of 14298570 is 7589241.

It can be written as a sum of positive squares in 4 ways, for example, as 12467961 + 1830609 = 3531^2 + 1353^2 .

It is not an unprimeable number, because it can be changed into a prime (14298577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141520 + ... + 141620.

Almost surely, 214298570 is an apocalyptic number.

14298570 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 14298570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221108).

14298570 is an abundant number, since it is smaller than the sum of its proper divisors (30143646).

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

14298570 is a wasteful number, since it uses less digits than its factorization.

14298570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14298570 is about 3781.3449988066. The cubic root of 14298570 is about 242.7155132352.

It can be divided in two parts, 1429 and 8570, that added together give a palindrome (9999).

The spelling of 14298570 in words is "fourteen million, two hundred ninety-eight thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 101 110 117 121 130 143 165 195 198 202 234 242 286 303 330 363 390 429 495 505 585 605 606 715 726 858 909 990 1010 1089 1111 1170 1210 1287 1313 1430 1515 1573 1815 1818 2145 2178 2222 2574 2626 3030 3146 3333 3630 3939 4290 4545 4719 5445 5555 6435 6565 6666 7865 7878 9090 9438 9999 10890 11110 11817 12221 12870 13130 14157 14443 15730 16665 19695 19998 23595 23634 24442 28314 28886 33330 36663 39390 43329 47190 49995 59085 61105 70785 72215 73326 86658 99990 109989 118170 122210 129987 141570 144430 158873 183315 216645 219978 259974 317746 366630 433290 476619 549945 649935 794365 953238 1099890 1299870 1429857 1588730 2383095 2859714 4766190 7149285 14298570