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13448664 = 23321511237
BaseRepresentation
bin110011010011…
…010111011000
3221022021002200
4303103113120
511420324124
61200130200
7222211635
oct63232730
927267080
1013448664
1176561a9
124606960
132a2b4b8
141b0118c
1512a9bc9
hexcd35d8

13448664 has 48 divisors (see below), whose sum is σ = 36694320. Its totient is φ = 4449600.

The previous prime is 13448657. The next prime is 13448693. The reversal of 13448664 is 46684431.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10254 + ... + 11490.

It is an arithmetic number, because the mean of its divisors is an integer number (764465).

Almost surely, 213448664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13448664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347160).

13448664 is an abundant number, since it is smaller than the sum of its proper divisors (23245656).

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

13448664 is a wasteful number, since it uses less digits than its factorization.

13448664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1393 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 13448664 is about 3667.2420154661. The cubic root of 13448664 is about 237.8079565607.

The spelling of 13448664 in words is "thirteen million, four hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1237 1359 1812 2474 2718 3624 3711 4948 5436 7422 9896 10872 11133 14844 22266 29688 44532 89064 186787 373574 560361 747148 1120722 1494296 1681083 2241444 3362166 4482888 6724332 13448664