Search a number
-
+
113524416 = 263461359
BaseRepresentation
bin1101100010000…
…11111011000000
321220121122020000
412301003323000
5213030240131
615133120000
72545640655
oct661037300
9256548200
10113524416
1159099635
1232029000
131a69a615
1411111c2c
159e76ce6
hex6c43ec0

113524416 has 140 divisors (see below), whose sum is σ = 342991440. Its totient is φ = 37117440.

The previous prime is 113524409. The next prime is 113524421. The reversal of 113524416 is 614425311.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113524416.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316045 + ... + 316403.

Almost surely, 2113524416 is an apocalyptic number.

113524416 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 113524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171495720).

113524416 is an abundant number, since it is smaller than the sum of its proper divisors (229467024).

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

113524416 is an equidigital number, since it uses as much as digits as its factorization.

113524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 113524416 is about 10654.7837143698. The cubic root of 113524416 is about 484.2055452809.

Adding to 113524416 its reverse (614425311), we get a palindrome (727949727).

The spelling of 113524416 in words is "one hundred thirteen million, five hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 144 162 183 192 216 244 288 324 359 366 432 488 549 576 648 718 732 864 976 1077 1098 1296 1436 1464 1647 1728 1952 2154 2196 2592 2872 2928 3231 3294 3904 4308 4392 4941 5184 5744 5856 6462 6588 8616 8784 9693 9882 11488 11712 12924 13176 17232 17568 19386 19764 21899 22976 25848 26352 29079 34464 35136 38772 39528 43798 51696 52704 58158 65697 68928 77544 79056 87596 103392 105408 116316 131394 155088 158112 175192 197091 206784 232632 262788 310176 316224 350384 394182 465264 525576 591273 620352 700768 788364 930528 1051152 1182546 1401536 1576728 1773819 1861056 2102304 2365092 3153456 3547638 4204608 4730184 6306912 7095276 9460368 12613824 14190552 18920736 28381104 37841472 56762208 113524416