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13941960 = 2335223521
BaseRepresentation
bin110101001011…
…110011001000
3222020022202220
4311023303020
512032120320
61214454040
7226335054
oct65136310
928208686
1013941960
11796288a
124804320
132b71ba6
141bccc64
151355e40
hexd4bcc8

13941960 has 64 divisors (see below), whose sum is σ = 42094080. Its totient is φ = 3694080.

The previous prime is 13941947. The next prime is 13941973. The reversal of 13941960 is 6914931.

13941960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13941947) and next prime (13941973).

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, 26500 + ... + 27020.

It is an arithmetic number, because the mean of its divisors is an integer number (657720).

Almost surely, 213941960 is an apocalyptic number.

13941960 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 13941960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047040).

13941960 is an abundant number, since it is smaller than the sum of its proper divisors (28152120).

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

13941960 is a wasteful number, since it uses less digits than its factorization.

13941960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 13941960 is about 3733.8934103694. The cubic root of 13941960 is about 240.6807063919.

The spelling of 13941960 in words is "thirteen million, nine hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 521 669 892 1042 1115 1338 1563 1784 2084 2230 2605 2676 3126 3345 4168 4460 5210 5352 6252 6690 7815 8920 10420 12504 13380 15630 20840 26760 31260 62520 116183 232366 348549 464732 580915 697098 929464 1161830 1394196 1742745 2323660 2788392 3485490 4647320 6970980 13941960