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11291616 = 253371867
BaseRepresentation
bin101011000100…
…101111100000
3210020200012000
4223010233200
510342312431
61042004000
7164656110
oct53045740
923220160
1011291616
116412616
123946600
13245473b
1416dd040
15ed09e6
hexac4be0

11291616 has 96 divisors (see below), whose sum is σ = 37658880. Its totient is φ = 3224448.

The previous prime is 11291611. The next prime is 11291617. The reversal of 11291616 is 61619211.

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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11291616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11291611) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5115 + ... + 6981.

It is an arithmetic number, because the mean of its divisors is an integer number (392280).

Almost surely, 211291616 is an apocalyptic number.

11291616 is a gapful number since it is divisible by the number (16) 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 11291616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829440).

11291616 is an abundant number, since it is smaller than the sum of its proper divisors (26367264).

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

11291616 is a wasteful number, since it uses less digits than its factorization.

11291616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1879 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 11291616 is about 3360.2999866083. The cubic root of 11291616 is about 224.3461908786.

The spelling of 11291616 in words is "eleven million, two hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 1867 2016 3024 3734 5601 6048 7468 11202 13069 14936 16803 22404 26138 29872 33606 39207 44808 50409 52276 59744 67212 78414 89616 100818 104552 117621 134424 156828 179232 201636 209104 235242 268848 313656 352863 403272 418208 470484 537696 627312 705726 806544 940968 1254624 1411452 1613088 1881936 2822904 3763872 5645808 11291616