Search a number
-
+
11308416 = 27372601
BaseRepresentation
bin101011001000…
…110110000000
3210021112020020
4223020312000
510343332131
61042213440
7165056100
oct53106600
923245206
1011308416
1164241a9
123954280
13245c292
141705200
15ed5996
hexac8d80

11308416 has 96 divisors (see below), whose sum is σ = 35000280. Its totient is φ = 3225600.

The previous prime is 11308411. The next prime is 11308457. The reversal of 11308416 is 61480311.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11308411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18516 + ... + 19116.

Almost surely, 211308416 is an apocalyptic number.

11308416 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 11308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500140).

11308416 is an abundant number, since it is smaller than the sum of its proper divisors (23691864).

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

11308416 is an equidigital number, since it uses as much as digits as its factorization.

11308416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11308416 is about 3362.7988343045. The cubic root of 11308416 is about 224.4573987084.

Adding to 11308416 its reverse (61480311), we get a palindrome (72788727).

The spelling of 11308416 in words is "eleven million, three hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 601 672 784 896 1176 1202 1344 1568 1803 2352 2404 2688 3136 3606 4207 4704 4808 6272 7212 8414 9408 9616 12621 14424 16828 18816 19232 25242 28848 29449 33656 38464 50484 57696 58898 67312 76928 88347 100968 115392 117796 134624 176694 201936 230784 235592 269248 353388 403872 471184 538496 706776 807744 942368 1413552 1615488 1884736 2827104 3769472 5654208 11308416