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13628196 = 2233257491
BaseRepresentation
bin110011111111…
…001100100100
3221122101101000
4303333030210
511442100241
61204033300
7223560231
oct63771444
927571330
1013628196
11776907a
124692830
132a9212a
141b4a788
1512e2eb6
hexcff324

13628196 has 48 divisors (see below), whose sum is σ = 35542080. Its totient is φ = 4515840.

The previous prime is 13628183. The next prime is 13628201. The reversal of 13628196 is 69182631.

13628196 = 902 + 912 + ... + 3462.

13628196 is a `hidden beast` number, since 13 + 628 + 19 + 6 = 666.

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 13628196.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27511 + ... + 28001.

It is an arithmetic number, because the mean of its divisors is an integer number (740460).

Almost surely, 213628196 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 13628196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771040).

13628196 is an abundant number, since it is smaller than the sum of its proper divisors (21913884).

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

13628196 is a wasteful number, since it uses less digits than its factorization.

13628196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13628196 is about 3691.6386605409. The cubic root of 13628196 is about 238.8614826160.

It can be divided in two parts, 13628 and 196, that added together give a cube (13824 = 243).

The spelling of 13628196 in words is "thirteen million, six hundred twenty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 491 514 771 982 1028 1473 1542 1964 2313 2946 3084 4419 4626 5892 6939 8838 9252 13257 13878 17676 26514 27756 53028 126187 252374 378561 504748 757122 1135683 1514244 2271366 3407049 4542732 6814098 13628196