Search a number
-
+
11497344 = 27379379
BaseRepresentation
bin101011110110…
…111110000000
3210122010101120
4223312332000
510420403334
61050232240
7166503645
oct53667600
923563346
1011497344
116543141
123a25680
1324c7281
141753dcc
151021949
hexaf6f80

11497344 has 64 divisors (see below), whose sum is σ = 31008000. Its totient is φ = 3773952.

The previous prime is 11497333. The next prime is 11497361. The reversal of 11497344 is 44379411.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30147 + ... + 30525.

It is an arithmetic number, because the mean of its divisors is an integer number (484500).

Almost surely, 211497344 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 11497344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504000).

11497344 is an abundant number, since it is smaller than the sum of its proper divisors (19510656).

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

11497344 is an equidigital number, since it uses as much as digits as its factorization.

11497344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 11497344 is about 3390.7733631135. The cubic root of 11497344 is about 225.7004934309.

The spelling of 11497344 in words is "eleven million, four hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 379 384 474 632 758 948 1137 1264 1516 1896 2274 2528 3032 3792 4548 5056 6064 7584 9096 10112 12128 15168 18192 24256 29941 30336 36384 48512 59882 72768 89823 119764 145536 179646 239528 359292 479056 718584 958112 1437168 1916224 2874336 3832448 5748672 11497344