Search a number
-
+
13196320 = 255671231
BaseRepresentation
bin110010010101…
…110000100000
3220211102221121
4302111300200
511334240240
61150502024
7220111144
oct62256040
926742847
1013196320
1174a3655
124504914
132970697
141a77224
15125a04a
hexc95c20

13196320 has 48 divisors (see below), whose sum is σ = 31667328. Its totient is φ = 5195520.

The previous prime is 13196299. The next prime is 13196327. The reversal of 13196320 is 2369131.

13196320 = T96 + T97 + ... + T430.

It is not an unprimeable number, because it can be changed into a prime (13196327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10105 + ... + 11335.

It is an arithmetic number, because the mean of its divisors is an integer number (659736).

Almost surely, 213196320 is an apocalyptic number.

13196320 is a gapful number since it is divisible by the number (10) 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 13196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833664).

13196320 is an abundant number, since it is smaller than the sum of its proper divisors (18471008).

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

13196320 is a wasteful number, since it uses less digits than its factorization.

13196320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 13196320 is about 3632.6739462825. The cubic root of 13196320 is about 236.3111857797.

The spelling of 13196320 in words is "thirteen million, one hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1231 1340 2144 2462 2680 4924 5360 6155 9848 10720 12310 19696 24620 39392 49240 82477 98480 164954 196960 329908 412385 659816 824770 1319632 1649540 2639264 3299080 6598160 13196320