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13423536 = 2433723193
BaseRepresentation
bin110011001101…
…001110110000
3221020222122000
4303031032300
511414023121
61155414000
7222045450
oct63151660
927228560
1013423536
117639335
1245b4300
132a1cc29
141ad5d60
1512a2526
hexccd3b0

13423536 has 160 divisors (see below), whose sum is σ = 46187520. Its totient is φ = 3649536.

The previous prime is 13423511. The next prime is 13423537. The reversal of 13423536 is 63532431.

It is a happy number.

13423536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (6480) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423537) 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, 69456 + ... + 69648.

It is an arithmetic number, because the mean of its divisors is an integer number (288672).

Almost surely, 213423536 is an apocalyptic number.

13423536 is a gapful number since it is divisible by the number (16) 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 13423536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23093760).

13423536 is an abundant number, since it is smaller than the sum of its proper divisors (32763984).

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

13423536 is a wasteful number, since it uses less digits than its factorization.

13423536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 13423536 is about 3663.8144057799. The cubic root of 13423536 is about 237.6597543823.

Adding to 13423536 its reverse (63532431), we get a palindrome (76955967).

The spelling of 13423536 in words is "thirteen million, four hundred twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 193 207 216 252 276 322 336 368 378 386 414 432 483 504 552 579 621 644 756 772 828 966 1008 1104 1158 1242 1288 1351 1449 1512 1544 1656 1737 1932 2316 2484 2576 2702 2898 3024 3088 3312 3474 3864 4053 4347 4439 4632 4968 5211 5404 5796 6948 7728 8106 8694 8878 9264 9936 10422 10808 11592 12159 13317 13896 16212 17388 17756 20844 21616 23184 24318 26634 27792 31073 32424 34776 35512 36477 39951 41688 48636 53268 62146 64848 69552 71024 72954 79902 83376 93219 97272 106536 119853 124292 145908 159804 186438 194544 213072 239706 248584 279657 291816 319608 372876 479412 497168 559314 583632 639216 745752 838971 958824 1118628 1491504 1677942 1917648 2237256 3355884 4474512 6711768 13423536