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11422944 = 253513113
BaseRepresentation
bin101011100100…
…110011100000
3210111100100000
4223210303200
510411013234
61044500000
7166044021
oct53446340
923440300
1011422944
1164a2255
1239aa600
13249c450
141734c48
151009899
hexae4ce0

11422944 has 144 divisors (see below), whose sum is σ = 36599472. Its totient is φ = 3483648.

The previous prime is 11422937. The next prime is 11422951. The reversal of 11422944 is 44922411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11422937) and next prime (11422951).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 101032 + ... + 101144.

It is an arithmetic number, because the mean of its divisors is an integer number (254163).

Almost surely, 211422944 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 11422944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736).

11422944 is an abundant number, since it is smaller than the sum of its proper divisors (25176528).

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

11422944 is a wasteful number, since it uses less digits than its factorization.

11422944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11422944 is about 3379.7846085217. The cubic root of 11422944 is about 225.2125990551.

The spelling of 11422944 in words is "eleven million, four hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 113 117 144 156 162 208 216 226 234 243 288 312 324 339 351 416 432 452 468 486 624 648 678 702 864 904 936 972 1017 1053 1248 1296 1356 1404 1469 1808 1872 1944 2034 2106 2592 2712 2808 2938 3051 3159 3616 3744 3888 4068 4212 4407 5424 5616 5876 6102 6318 7776 8136 8424 8814 9153 10848 11232 11752 12204 12636 13221 16272 16848 17628 18306 23504 24408 25272 26442 27459 32544 33696 35256 36612 39663 47008 48816 50544 52884 54918 70512 73224 79326 97632 101088 105768 109836 118989 141024 146448 158652 211536 219672 237978 292896 317304 356967 423072 439344 475956 634608 713934 878688 951912 1269216 1427868 1903824 2855736 3807648 5711472 11422944