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13198140 = 223458147
BaseRepresentation
bin110010010110…
…001100111100
3220211112110000
4302112030330
511334320030
61150514300
7220116354
oct62261474
926745400
1013198140
1174a4a5a
124505990
132971467
141a77b64
15125a860
hexc9633c

13198140 has 60 divisors (see below), whose sum is σ = 41408136. Its totient is φ = 3519072.

The previous prime is 13198139. The next prime is 13198147. The reversal of 13198140 is 4189131.

13198140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×131981403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13198147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2454 + ... + 5693.

Almost surely, 213198140 is an apocalyptic number.

13198140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13198140 is an abundant number, since it is smaller than the sum of its proper divisors (28209996).

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

13198140 is a wasteful number, since it uses less digits than its factorization.

13198140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13198140 is about 3632.9244418237. The cubic root of 13198140 is about 236.3220490756.

Subtracting from 13198140 its reverse (4189131), we obtain a palindrome (9009009).

The spelling of 13198140 in words is "thirteen million, one hundred ninety-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8147 16294 24441 32588 40735 48882 73323 81470 97764 122205 146646 162940 219969 244410 293292 366615 439938 488820 659907 733230 879876 1099845 1319814 1466460 2199690 2639628 3299535 4399380 6599070 13198140