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13461264 = 243293481
BaseRepresentation
bin110011010110…
…011100010000
3221022220101100
4303112130100
511421230024
61200304400
7222263445
oct63263420
927286340
1013461264
117664713
124612100
132a3415b
141b059cc
1512ad7c9
hexcd6710

13461264 has 30 divisors (see below), whose sum is σ = 37673246. Its totient is φ = 4487040.

The previous prime is 13461241. The next prime is 13461271. The reversal of 13461264 is 46216431.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 501264 = 3600^2 + 708^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 46597 + ... + 46884.

Almost surely, 213461264 is an apocalyptic number.

It is an amenable number.

13461264 is an abundant number, since it is smaller than the sum of its proper divisors (24211982).

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

13461264 is a wasteful number, since it uses less digits than its factorization.

13461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93495 (or 93486 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13461264 is about 3668.9595255331. The cubic root of 13461264 is about 237.8822004899.

Adding to 13461264 its reverse (46216431), we get a palindrome (59677695).

It can be divided in two parts, 134612 and 64, that multiplied together give a palindrome (8615168).

The spelling of 13461264 in words is "thirteen million, four hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 93481 186962 280443 373924 560886 747848 841329 1121772 1495696 1682658 2243544 3365316 4487088 6730632 13461264