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13973064 = 2337312683
BaseRepresentation
bin110101010011…
…011001001000
3222021220102220
4311103121020
512034114224
61215254040
7226524540
oct65233110
928256386
1013973064
117984196
12481a320
132b830b1
141bda320
151360279
hexd53648

13973064 has 64 divisors (see below), whose sum is σ = 41226240. Its totient is φ = 3862080.

The previous prime is 13973059. The next prime is 13973077. The reversal of 13973064 is 46037931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3867 + ... + 6549.

It is an arithmetic number, because the mean of its divisors is an integer number (644160).

Almost surely, 213973064 is an apocalyptic number.

13973064 is a gapful number since it is divisible by the number (14) 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 13973064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20613120).

13973064 is an abundant number, since it is smaller than the sum of its proper divisors (27253176).

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

13973064 is a wasteful number, since it uses less digits than its factorization.

13973064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13973064 is about 3738.0561793531. The cubic root of 13973064 is about 240.8595567230.

The spelling of 13973064 in words is "thirteen million, nine hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 2683 5208 5366 8049 10732 16098 18781 21464 32196 37562 56343 64392 75124 83173 112686 150248 166346 225372 249519 332692 450744 499038 582211 665384 998076 1164422 1746633 1996152 2328844 3493266 4657688 6986532 13973064