Search a number
-
+
10944288 = 253353239
BaseRepresentation
bin101001101111…
…111100100000
3202121000202000
4221233330200
510300204123
61030324000
7162011355
oct51577440
922530660
1010944288
1161a5673
1237b9600
132362614
14164c62c
15e62b43
hexa6ff20

10944288 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3564288.

The previous prime is 10944287. The next prime is 10944289. The reversal of 10944288 is 88244901.

It is an interprime number because it is at equal distance from previous prime (10944287) and next prime (10944289).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10944287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45673 + ... + 45911.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 210944288 is an apocalyptic number.

10944288 is a gapful number since it is divisible by the number (18) 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 10944288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10944288 is an abundant number, since it is smaller than the sum of its proper divisors (21714912).

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

10944288 is a wasteful number, since it uses less digits than its factorization.

10944288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10944288 is about 3308.2152287903. The cubic root of 10944288 is about 222.0219116429.

The spelling of 10944288 in words is "ten million, nine hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 239 288 318 424 432 477 478 636 717 848 864 954 956 1272 1431 1434 1696 1908 1912 2151 2544 2862 2868 3816 3824 4302 5088 5724 5736 6453 7632 7648 8604 11448 11472 12667 12906 15264 17208 22896 22944 25334 25812 34416 38001 45792 50668 51624 68832 76002 101336 103248 114003 152004 202672 206496 228006 304008 342009 405344 456012 608016 684018 912024 1216032 1368036 1824048 2736072 3648096 5472144 10944288