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13461216 = 253140221
BaseRepresentation
bin110011010110…
…011011100000
3221022220022120
4303112123200
511421224331
61200304240
7222263346
oct63263340
927286276
1013461216
11766467a
124612080
132a34122
141b05996
1512ad796
hexcd66e0

13461216 has 24 divisors (see below), whose sum is σ = 35335944. Its totient is φ = 4487040.

The previous prime is 13461199. The next prime is 13461221. The reversal of 13461216 is 61216431.

13461216 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70015 + ... + 70206.

It is an arithmetic number, because the mean of its divisors is an integer number (1472331).

Almost surely, 213461216 is an apocalyptic number.

13461216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13461216 is an abundant number, since it is smaller than the sum of its proper divisors (21874728).

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

13461216 is a wasteful number, since it uses less digits than its factorization.

13461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140234 (or 140226 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13461216 is about 3668.9529841632. The cubic root of 13461216 is about 237.8819177438.

Adding to 13461216 its reverse (61216431), we get a palindrome (74677647).

The spelling of 13461216 in words is "thirteen million, four hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 140221 280442 420663 560884 841326 1121768 1682652 2243536 3365304 4487072 6730608 13461216