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13528494 = 2327195651
BaseRepresentation
bin110011100110…
…110110101110
3221110022121100
4303212312232
511430402434
61201543530
7222663450
oct63466656
927408540
1013528494
117700181
124644ba6
132a58935
141b222d0
1512c3699
hexce6dae

13528494 has 48 divisors (see below), whose sum is σ = 35268480. Its totient is φ = 3661200.

The previous prime is 13528477. The next prime is 13528499. The reversal of 13528494 is 49482531.

It is a super-3 number, since 3×135284943 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (734760).

Almost surely, 213528494 is an apocalyptic number.

13528494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13528494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634240).

13528494 is an abundant number, since it is smaller than the sum of its proper divisors (21739986).

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

13528494 is a wasteful number, since it uses less digits than its factorization.

13528494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5682 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13528494 is about 3678.1101125442. The cubic root of 13528494 is about 238.2775637953.

The spelling of 13528494 in words is "thirteen million, five hundred twenty-eight thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 5651 11302 16953 33906 39557 50859 79114 101718 107369 118671 214738 237342 322107 356013 644214 712026 751583 966321 1503166 1932642 2254749 4509498 6764247 13528494