Search a number
-
+
13454016 = 26379887
BaseRepresentation
bin110011010100…
…101011000000
3221022112102220
4303110223000
511421012031
61200211040
7222233352
oct63245300
927275386
1013454016
11765a224
124609a80
132a30a74
141b030d2
1512ab596
hexcd4ac0

13454016 has 56 divisors (see below), whose sum is σ = 36088320. Its totient is φ = 4422912.

The previous prime is 13454009. The next prime is 13454017. The reversal of 13454016 is 61045431.

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

It is not an unprimeable number, because it can be changed into a prime (13454017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14725 + ... + 15611.

Almost surely, 213454016 is an apocalyptic number.

13454016 is a gapful number since it is divisible by the number (16) 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 13454016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044160).

13454016 is an abundant number, since it is smaller than the sum of its proper divisors (22634304).

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

13454016 is an equidigital number, since it uses as much as digits as its factorization.

13454016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13454016 is about 3667.9716465644. The cubic root of 13454016 is about 237.8394982164.

Adding to 13454016 its reverse (61045431), we get a palindrome (74499447).

The spelling of 13454016 in words is "thirteen million, four hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 887 948 1264 1774 1896 2528 2661 3548 3792 5056 5322 7096 7584 10644 14192 15168 21288 28384 42576 56768 70073 85152 140146 170304 210219 280292 420438 560584 840876 1121168 1681752 2242336 3363504 4484672 6727008 13454016