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13245144 = 2331124561
BaseRepresentation
bin110010100001…
…101011011000
3220220220220220
4302201223120
511342321034
61151520040
7220403403
oct62415330
926826826
1013245144
117527300
124529020
132989983
141a8ad3a
151269749
hexca1ad8

13245144 has 48 divisors (see below), whose sum is σ = 36404760. Its totient is φ = 4012800.

The previous prime is 13245137. The next prime is 13245151. The reversal of 13245144 is 44154231.

It is an interprime number because it is at equal distance from previous prime (13245137) and next prime (13245151).

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

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 11 ways as a sum of consecutive naturals, for example, 624 + ... + 5184.

Almost surely, 213245144 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 13245144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202380).

13245144 is an abundant number, since it is smaller than the sum of its proper divisors (23159616).

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

13245144 is a wasteful number, since it uses less digits than its factorization.

13245144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4577 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 13245144 is about 3639.3878606161. The cubic root of 13245144 is about 236.6022633283.

Adding to 13245144 its reverse (44154231), we get a palindrome (57399375).

The spelling of 13245144 in words is "thirteen million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 4561 9122 13683 18244 27366 36488 50171 54732 100342 109464 150513 200684 301026 401368 551881 602052 1103762 1204104 1655643 2207524 3311286 4415048 6622572 13245144