Search a number
-
+
11497304 = 2371317929
BaseRepresentation
bin101011110110…
…111101011000
3210122010100002
4223312331120
510420403204
61050232132
7166503560
oct53667530
923563302
1011497304
116543105
123a25648
1324c7250
141753da0
15102191e
hexaf6f58

11497304 has 64 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4276224.

The previous prime is 11497289. The next prime is 11497307. The reversal of 11497304 is 40379411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11497307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11912 + ... + 12840.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 211497304 is an apocalyptic number.

11497304 is a gapful number since it is divisible by the number (14) 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 11497304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

11497304 is an abundant number, since it is smaller than the sum of its proper divisors (16625896).

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

11497304 is a wasteful number, since it uses less digits than its factorization.

11497304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 11497304 is about 3390.7674647489. The cubic root of 11497304 is about 225.7002316884.

The spelling of 11497304 in words is "eleven million, four hundred ninety-seven thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 929 952 1547 1768 1858 3094 3716 6188 6503 7432 12077 12376 13006 15793 24154 26012 31586 48308 52024 63172 84539 96616 110551 126344 169078 205309 221102 338156 410618 442204 676312 821236 884408 1437163 1642472 2874326 5748652 11497304