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13198944 = 2531129431
BaseRepresentation
bin110010010110…
…011001100000
3220211120112210
4302112121200
511334331234
61150522120
7220121613
oct62263140
926746483
1013198944
1174a5620
124506340
132971935
141a7817a
15125abe9
hexc96660

13198944 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3852800.

The previous prime is 13198921. The next prime is 13198957. The reversal of 13198944 is 44989131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

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, 30409 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 213198944 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 13198944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

13198944 is an abundant number, since it is smaller than the sum of its proper divisors (25992096).

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

13198944 is a wasteful number, since it uses less digits than its factorization.

13198944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 13198944 is about 3633.0350947933. The cubic root of 13198944 is about 236.3268477081.

The spelling of 13198944 in words is "thirteen million, one hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 431 464 528 638 696 862 928 957 1056 1276 1293 1392 1724 1914 2552 2586 2784 3448 3828 4741 5104 5172 6896 7656 9482 10208 10344 12499 13792 14223 15312 18964 20688 24998 28446 30624 37497 37928 41376 49996 56892 74994 75856 99992 113784 137489 149988 151712 199984 227568 274978 299976 399968 412467 455136 549956 599952 824934 1099912 1199904 1649868 2199824 3299736 4399648 6599472 13198944