Search a number
-
+
113963616 = 25321361499
BaseRepresentation
bin1101100101011…
…11001001100000
321221102221200200
412302233021200
5213133313431
615150345200
72552450304
oct662571140
9257387620
10113963616
1159369608
12321bb200
131a7c24c0
14111c7d04
15a011ee6
hex6caf260

113963616 has 144 divisors (see below), whose sum is σ = 355446000. Its totient is φ = 34421760.

The previous prime is 113963611. The next prime is 113963687. The reversal of 113963616 is 616369311.

113963616 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 636 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113963611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 228135 + ... + 228633.

It is an arithmetic number, because the mean of its divisors is an integer number (2468375).

Almost surely, 2113963616 is an apocalyptic number.

113963616 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 113963616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177723000).

113963616 is an abundant number, since it is smaller than the sum of its proper divisors (241482384).

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

113963616 is a wasteful number, since it uses less digits than its factorization.

113963616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 578 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 113963616 is about 10675.3742791529. The cubic root of 113963616 is about 484.8291685878.

The spelling of 113963616 in words is "one hundred thirteen million, nine hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 208 234 244 288 312 366 416 468 488 499 549 624 732 793 936 976 998 1098 1248 1464 1497 1586 1872 1952 1996 2196 2379 2928 2994 3172 3744 3992 4392 4491 4758 5856 5988 6344 6487 7137 7984 8784 8982 9516 11976 12688 12974 14274 15968 17568 17964 19032 19461 23952 25376 25948 28548 30439 35928 38064 38922 47904 51896 57096 58383 60878 71856 76128 77844 91317 103792 114192 116766 121756 143712 155688 182634 207584 228384 233532 243512 273951 311376 365268 395707 467064 487024 547902 622752 730536 791414 934128 974048 1095804 1187121 1461072 1582828 1868256 2191608 2374242 2922144 3165656 3561363 4383216 4748484 6331312 7122726 8766432 9496968 12662624 14245452 18993936 28490904 37987872 56981808 113963616