Search a number
-
+
13346976 = 253413391
BaseRepresentation
bin110010111010…
…100010100000
3221010002121110
4302322202200
511404100401
61154023320
7221306316
oct62724240
927102543
1013346976
117596865
124577b40
1329c4126
141ab60b6
1512899d6
hexcba8a0

13346976 has 48 divisors (see below), whose sum is σ = 35900928. Its totient is φ = 4339200.

The previous prime is 13346903. The next prime is 13347031. The reversal of 13346976 is 67964331.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (747936).

Almost surely, 213346976 is an apocalyptic number.

13346976 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 13346976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950464).

13346976 is an abundant number, since it is smaller than the sum of its proper divisors (22553952).

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

13346976 is a wasteful number, since it uses less digits than its factorization.

13346976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3437 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 13346976 is about 3653.3513381551. The cubic root of 13346976 is about 237.2070685805.

The spelling of 13346976 in words is "thirteen million, three hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3391 3936 6782 10173 13564 20346 27128 40692 54256 81384 108512 139031 162768 278062 325536 417093 556124 834186 1112248 1668372 2224496 3336744 4448992 6673488 13346976