Search a number
-
+
15241344 = 273192089
BaseRepresentation
bin111010001001…
…000010000000
31001200100012020
4322021002000
512400210334
61302401440
7243356256
oct72110200
931610166
1015241344
118670058
125130280
133208461
14204a5d6
151510e49
hexe89080

15241344 has 64 divisors (see below), whose sum is σ = 42636000. Its totient is φ = 4810752.

The previous prime is 15241337. The next prime is 15241349. The reversal of 15241344 is 44314251.

It is a tau number, because it is divible by the number of its divisors (64).

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 (15241349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6252 + ... + 8340.

Almost surely, 215241344 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 15241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318000).

15241344 is an abundant number, since it is smaller than the sum of its proper divisors (27394656).

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

15241344 is a wasteful number, since it uses less digits than its factorization.

15241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2113 counting only the distinct ones).

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

The square root of 15241344 is about 3904.0163934082. The cubic root of 15241344 is about 247.9368552383.

Adding to 15241344 its reverse (44314251), we get a palindrome (59555595).

The spelling of 15241344 in words is "fifteen million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2089 2432 3648 4178 6267 7296 8356 12534 16712 25068 33424 39691 50136 66848 79382 100272 119073 133696 158764 200544 238146 267392 317528 401088 476292 635056 802176 952584 1270112 1905168 2540224 3810336 5080448 7620672 15241344