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13941968 = 244153401
BaseRepresentation
bin110101001011…
…110011010000
3222020022210012
4311023303100
512032120333
61214454052
7226335065
oct65136320
928208705
1013941968
117962897
124804328
132b71bb1
141bccc6c
151355e48
hexd4bcd0

13941968 has 40 divisors (see below), whose sum is σ = 28263816. Its totient is φ = 6656000.

The previous prime is 13941947. The next prime is 13941973. The reversal of 13941968 is 86914931.

13941968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4032064 + 9909904 = 2008^2 + 3148^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34568 + ... + 34968.

Almost surely, 213941968 is an apocalyptic number.

It is an amenable number.

13941968 is an abundant number, since it is smaller than the sum of its proper divisors (14321848).

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

13941968 is a wasteful number, since it uses less digits than its factorization.

13941968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 13941968 is about 3733.8944816371. The cubic root of 13941968 is about 240.6807524267.

The spelling of 13941968 in words is "thirteen million, nine hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 41 53 82 106 164 212 328 401 424 656 802 848 1604 2173 3208 4346 6416 8692 16441 17384 21253 32882 34768 42506 65764 85012 131528 170024 263056 340048 871373 1742746 3485492 6970984 13941968