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13169772 = 22327114751
BaseRepresentation
bin110010001111…
…010001101100
3220210002112100
4302033101230
511332413042
61150135100
7216640560
oct62172154
926702470
1013169772
117485710
1244b1490
132961585
141a6b6a0
15125224c
hexc8f46c

13169772 has 72 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 3420000.

The previous prime is 13169771. The next prime is 13169791. The reversal of 13169772 is 27796131.

It is a happy number.

13169772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13169771) 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, 397 + ... + 5147.

It is an arithmetic number, because the mean of its divisors is an integer number (576576).

Almost surely, 213169772 is an apocalyptic number.

13169772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13169772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

13169772 is an abundant number, since it is smaller than the sum of its proper divisors (28343700).

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

13169772 is a wasteful number, since it uses less digits than its factorization.

13169772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4774 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 13169772 is about 3629.0180490044. The cubic root of 13169772 is about 236.1526112407.

It can be divided in two parts, 131697 and 72, that added together give a square (131769 = 3632).

The spelling of 13169772 in words is "thirteen million, one hundred sixty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 4751 9502 14253 19004 28506 33257 42759 52261 57012 66514 85518 99771 104522 133028 156783 171036 199542 209044 299313 313566 365827 399084 470349 598626 627132 731654 940698 1097481 1197252 1463308 1881396 2194962 3292443 4389924 6584886 13169772