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13390776 = 233271632
BaseRepresentation
bin110011000101…
…001110111000
3221012022200200
4303011032320
511412001101
61155002200
7221551110
oct63051670
927168620
1013390776
117616763
124599360
132a0b049
141ac8040
151297986
hexcc53b8

13390776 has 72 divisors (see below), whose sum is σ = 41703480. Its totient is φ = 3802464.

The previous prime is 13390771. The next prime is 13390777. The reversal of 13390776 is 67709331.

13390776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 13390776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13390771) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82071 + ... + 82233.

It is an arithmetic number, because the mean of its divisors is an integer number (579215).

Almost surely, 213390776 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 13390776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851740).

13390776 is an abundant number, since it is smaller than the sum of its proper divisors (28312704).

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

13390776 is a wasteful number, since it uses less digits than its factorization.

13390776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 13390776 is about 3659.3409242649. The cubic root of 13390776 is about 237.4662615048.

It can be divided in two parts, 133 and 90776, that added together give a palindrome (90909).

The spelling of 13390776 in words is "thirteen million, three hundred ninety thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 326 489 504 652 978 1141 1304 1467 1956 2282 2934 3423 3912 4564 5868 6846 9128 10269 11736 13692 20538 26569 27384 41076 53138 79707 82152 106276 159414 185983 212552 239121 318828 371966 478242 557949 637656 743932 956484 1115898 1487864 1673847 1912968 2231796 3347694 4463592 6695388 13390776