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13190320 = 24511131153
BaseRepresentation
bin110010010100…
…010010110000
3220211010201101
4302110102300
511334042240
61150414144
7220054513
oct62242260
926733641
1013190320
11749a0a0
124501354
13296aa30
141a74d7a
15125839a
hexc944b0

13190320 has 80 divisors (see below), whose sum is σ = 36060192. Its totient is φ = 4423680.

The previous prime is 13190311. The next prime is 13190321. The reversal of 13190320 is 2309131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13190321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10864 + ... + 12016.

Almost surely, 213190320 is an apocalyptic number.

13190320 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 13190320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030096).

13190320 is an abundant number, since it is smaller than the sum of its proper divisors (22869872).

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

13190320 is a wasteful number, since it uses less digits than its factorization.

13190320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 13190320 is about 3631.8480144411. The cubic root of 13190320 is about 236.2753656405.

Adding to 13190320 its reverse (2309131), we get a palindrome (15499451).

The spelling of 13190320 in words is "thirteen million, one hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1153 1430 2288 2306 2860 4612 5720 5765 9224 11440 11530 12683 14989 18448 23060 25366 29978 46120 50732 59956 63415 74945 92240 101464 119912 126830 149890 164879 202928 239824 253660 299780 329758 507320 599560 659516 824395 1014640 1199120 1319032 1648790 2638064 3297580 6595160 13190320