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13659140 = 22511471321
BaseRepresentation
bin110100000110…
…110000000100
3221200221211002
4310012300010
511444043030
61204432432
7224046365
oct64066004
927627732
1013659140
11778a350
1246a8718
132aa3241
141b57b6c
1512ec245
hexd06c04

13659140 has 48 divisors (see below), whose sum is σ = 31981824. Its totient is φ = 4857600.

The previous prime is 13659133. The next prime is 13659197. The reversal of 13659140 is 4195631.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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, 9680 + ... + 11000.

It is an arithmetic number, because the mean of its divisors is an integer number (666288).

Almost surely, 213659140 is an apocalyptic number.

13659140 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 13659140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990912).

13659140 is an abundant number, since it is smaller than the sum of its proper divisors (18322684).

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

13659140 is a wasteful number, since it uses less digits than its factorization.

13659140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 13659140 is about 3695.8273769212. The cubic root of 13659140 is about 239.0421311907.

It can be divided in two parts, 136591 and 40, that added together give a palindrome (136631).

The spelling of 13659140 in words is "thirteen million, six hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1321 2068 2585 2642 5170 5284 6605 10340 13210 14531 26420 29062 58124 62087 72655 124174 145310 248348 290620 310435 620870 682957 1241740 1365914 2731828 3414785 6829570 13659140