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13199148 = 22321923839
BaseRepresentation
bin110010010110…
…011100101100
3220211120211100
4302112130230
511334333043
61150523100
7220122324
oct62263454
926746740
1013199148
1174a5796
124506490
132971a61
141a78284
15125acd3
hexc9672c

13199148 has 72 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 3982176.

The previous prime is 13199143. The next prime is 13199177. The reversal of 13199148 is 84199131.

13199148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13199143) 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, 15313 + ... + 16151.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 213199148 is an apocalyptic number.

13199148 is a gapful number since it is divisible by the number (18) 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 13199148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

13199148 is an abundant number, since it is smaller than the sum of its proper divisors (23492052).

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

13199148 is a wasteful number, since it uses less digits than its factorization.

13199148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 886 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 13199148 is about 3633.0631703839. The cubic root of 13199148 is about 236.3280652406.

The spelling of 13199148 in words is "thirteen million, one hundred ninety-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 839 874 1311 1678 1748 2517 2622 3356 3933 5034 5244 7551 7866 10068 15102 15732 15941 19297 30204 31882 38594 47823 57891 63764 77188 95646 115782 143469 173673 191292 231564 286938 347346 366643 573876 694692 733286 1099929 1466572 2199858 3299787 4399716 6599574 13199148