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13319152 = 2471119569
BaseRepresentation
bin110010110011…
…101111110000
3221001200102221
4302303233300
511402203102
61153250424
7221132230
oct62635760
927050387
1013319152
117577970
124563a14
1329b4572
141aa9cc0
151281637
hexcb3bf0

13319152 has 80 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 4907520.

The previous prime is 13319129. The next prime is 13319203. The reversal of 13319152 is 25191331.

It is a congruent number.

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, 23124 + ... + 23692.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 213319152 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 13319152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

13319152 is an abundant number, since it is smaller than the sum of its proper divisors (20607248).

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

13319152 is a wasteful number, since it uses less digits than its factorization.

13319152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The square root of 13319152 is about 3649.5413410455. The cubic root of 13319152 is about 237.0421213271.

It can be divided in two parts, 133 and 19152, that multiplied together give a square (2547216 = 15962).

The spelling of 13319152 in words is "thirteen million, three hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 569 616 836 1064 1138 1232 1463 1672 2128 2276 2926 3344 3983 4552 5852 6259 7966 9104 10811 11704 12518 15932 21622 23408 25036 31864 43244 43813 50072 63728 75677 86488 87626 100144 118921 151354 172976 175252 237842 302708 350504 475684 605416 701008 832447 951368 1210832 1664894 1902736 3329788 6659576 13319152