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12145518 = 23371123127
BaseRepresentation
bin101110010101…
…001101101110
3211212001112000
4232111031232
511102124033
61112153130
7205143450
oct56251556
924761460
1012145518
116946120
1240987a6
1326932c8
1418822d0
1510eda13
hexb9536e

12145518 has 128 divisors (see below), whose sum is σ = 35389440. Its totient is φ = 2993760.

The previous prime is 12145513. The next prime is 12145537. The reversal of 12145518 is 81554121.

12145518 is a `hidden beast` number, since 1 + 2 + 145 + 518 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12145491 and 12145500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95571 + ... + 95697.

It is an arithmetic number, because the mean of its divisors is an integer number (276480).

Almost surely, 212145518 is an apocalyptic number.

12145518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12145518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694720).

12145518 is an abundant number, since it is smaller than the sum of its proper divisors (23243922).

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

12145518 is a wasteful number, since it uses less digits than its factorization.

12145518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 12145518 is about 3485.0420370492. The cubic root of 12145518 is about 229.8645579379.

Adding to 12145518 its reverse (81554121), we get a palindrome (93699639).

It can be divided in two parts, 12 and 145518, that added together give a triangular number (145530 = T539).

The spelling of 12145518 in words is "twelve million, one hundred forty-five thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 27 33 42 46 54 63 66 69 77 99 126 127 138 154 161 189 198 207 231 253 254 297 322 378 381 414 462 483 506 594 621 693 759 762 889 966 1143 1242 1386 1397 1449 1518 1771 1778 2079 2277 2286 2667 2794 2898 2921 3429 3542 4158 4191 4347 4554 5313 5334 5842 6831 6858 8001 8382 8694 8763 9779 10626 12573 13662 15939 16002 17526 19558 20447 24003 25146 26289 29337 31878 32131 37719 40894 47817 48006 52578 58674 61341 64262 75438 78867 88011 95634 96393 122682 157734 176022 184023 192786 224917 264033 289179 368046 449834 528066 552069 578358 674751 867537 1104138 1349502 1735074 2024253 4048506 6072759 12145518