Search a number
-
+
14614644 = 22311532089
BaseRepresentation
bin110111110000…
…000001110100
31000111111112010
4313300001310
512220132034
61241124220
7235136202
oct67600164
930444463
1014614644
118282220
124a89670
133049125
141d26072
15143a3e9
hexdf0074

14614644 has 48 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 4343040.

The previous prime is 14614631. The next prime is 14614657. The reversal of 14614644 is 44641641.

It is an interprime number because it is at equal distance from previous prime (14614631) and next prime (14614657).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5952 + ... + 8040.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 214614644 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 14614644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

14614644 is an abundant number, since it is smaller than the sum of its proper divisors (23306316).

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

14614644 is a wasteful number, since it uses less digits than its factorization.

14614644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2158 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 14614644 is about 3822.9104096225. The cubic root of 14614644 is about 244.4909268508.

It can be divided in two parts, 1461 and 4644, that added together give a triangular number (6105 = T110).

The spelling of 14614644 in words is "fourteen million, six hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2089 2332 3498 4178 6267 6996 8356 12534 22979 25068 45958 68937 91916 110717 137874 221434 275748 332151 442868 664302 1217887 1328604 2435774 3653661 4871548 7307322 14614644