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13042512 = 2433719227
BaseRepresentation
bin110001110000…
…001101010000
3220112121222000
4301300031100
511314330022
61143314000
7215600550
oct61601520
926477860
1013042512
1173a903a
12444b900
132918682
141a37160
1512296ac
hexc70350

13042512 has 160 divisors (see below), whose sum is σ = 45235200. Its totient is φ = 3514752.

The previous prime is 13042511. The next prime is 13042517. The reversal of 13042512 is 21524031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57343 + ... + 57569.

It is an arithmetic number, because the mean of its divisors is an integer number (282720).

Almost surely, 213042512 is an apocalyptic number.

13042512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617600).

13042512 is an abundant number, since it is smaller than the sum of its proper divisors (32192688).

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

13042512 is a wasteful number, since it uses less digits than its factorization.

13042512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13042512 is about 3611.4418173356. The cubic root of 13042512 is about 235.3894974293.

Adding to 13042512 its reverse (21524031), we get a palindrome (34566543).

The spelling of 13042512 in words is "thirteen million, forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 227 228 252 266 304 336 342 378 399 432 454 456 504 513 532 681 684 756 798 908 912 1008 1026 1064 1197 1362 1368 1512 1589 1596 1816 2043 2052 2128 2394 2724 2736 3024 3178 3192 3591 3632 4086 4104 4313 4767 4788 5448 6129 6356 6384 7182 8172 8208 8626 9534 9576 10896 12258 12712 12939 14301 14364 16344 17252 19068 19152 24516 25424 25878 28602 28728 30191 32688 34504 38136 38817 42903 49032 51756 57204 57456 60382 69008 76272 77634 85806 90573 98064 103512 114408 116451 120764 155268 171612 181146 207024 228816 232902 241528 271719 310536 343224 362292 465804 483056 543438 621072 686448 724584 815157 931608 1086876 1449168 1630314 1863216 2173752 3260628 4347504 6521256 13042512