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13941216 = 253248407
BaseRepresentation
bin110101001011…
…100111100000
3222020021202100
4311023213200
512032104331
61214450400
7226332642
oct65134740
928207670
1013941216
117962273
124803a00
132b71753
141bcc892
151355ae6
hexd4b9e0

13941216 has 36 divisors (see below), whose sum is σ = 39646152. Its totient is φ = 4646976.

The previous prime is 13941211. The next prime is 13941223. The reversal of 13941216 is 61214931.

13941216 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13941216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13941211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23916 + ... + 24491.

It is an arithmetic number, because the mean of its divisors is an integer number (1101282).

Almost surely, 213941216 is an apocalyptic number.

13941216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13941216 is an abundant number, since it is smaller than the sum of its proper divisors (25704936).

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

13941216 is a wasteful number, since it uses less digits than its factorization.

13941216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48423 (or 48412 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13941216 is about 3733.7937811293. The cubic root of 13941216 is about 240.6764250802.

The spelling of 13941216 in words is "thirteen million, nine hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48407 96814 145221 193628 290442 387256 435663 580884 774512 871326 1161768 1549024 1742652 2323536 3485304 4647072 6970608 13941216