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13659828 = 22372131787
BaseRepresentation
bin110100000110…
…111010110100
3221200222202120
4310012322310
511444103303
61204435540
7224051400
oct64067264
927628676
1013659828
11778a916
1246a8bb0
132aa3650
141b58100
1512ec553
hexd06eb4

13659828 has 72 divisors (see below), whose sum is σ = 39951072. Its totient is φ = 3600576.

The previous prime is 13659827. The next prime is 13659839. The reversal of 13659828 is 82895631.

13659828 is digitally balanced in base 2 and base 4, because in such bases 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13659828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13659827) 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, 6751 + ... + 8537.

It is an arithmetic number, because the mean of its divisors is an integer number (554876).

Almost surely, 213659828 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 13659828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975536).

13659828 is an abundant number, since it is smaller than the sum of its proper divisors (26291244).

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

13659828 is a wasteful number, since it uses less digits than its factorization.

13659828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1812 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 13659828 is about 3695.9204536894. The cubic root of 13659828 is about 239.0461445772.

The spelling of 13659828 in words is "thirteen million, six hundred fifty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1787 1911 2548 3574 3822 5361 7148 7644 10722 12509 21444 23231 25018 37527 46462 50036 69693 75054 87563 92924 139386 150108 162617 175126 262689 278772 325234 350252 487851 525378 650468 975702 1050756 1138319 1951404 2276638 3414957 4553276 6829914 13659828