Search a number
-
+
13523796 = 223211133771
BaseRepresentation
bin110011100101…
…101101010100
3221110002011100
4303211231110
511430230141
61201510100
7222643656
oct63455524
927402140
1013523796
1176a76a0
124642330
132a56760
141b206d6
1512c20b6
hexce5b54

13523796 has 144 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 3628800.

The previous prime is 13523779. The next prime is 13523821. The reversal of 13523796 is 69732531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13523796.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 190441 + ... + 190511.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 213523796 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 13523796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

13523796 is an abundant number, since it is smaller than the sum of its proper divisors (28304172).

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

13523796 is a wasteful number, since it uses less digits than its factorization.

13523796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13523796 is about 3677.4714138930. The cubic root of 13523796 is about 238.2499786209.

The spelling of 13523796 in words is "thirteen million, five hundred twenty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 37 39 44 52 66 71 74 78 99 111 117 132 142 143 148 156 198 213 222 234 284 286 333 396 407 426 429 444 468 481 572 639 666 781 814 852 858 923 962 1221 1278 1287 1332 1443 1562 1628 1716 1846 1924 2343 2442 2556 2574 2627 2769 2886 3124 3663 3692 4329 4686 4884 5148 5254 5291 5538 5772 7029 7326 7881 8307 8658 9372 10153 10508 10582 11076 14058 14652 15762 15873 16614 17316 20306 21164 23643 28116 28897 30459 31524 31746 33228 34151 40612 47286 47619 57794 60918 63492 68302 86691 91377 94572 95238 102453 115588 121836 136604 173382 182754 190476 204906 260073 307359 346764 365508 375661 409812 520146 614718 751322 1040292 1126983 1229436 1502644 2253966 3380949 4507932 6761898 13523796