Search a number
-
+
113808772 = 2273117541
BaseRepresentation
bin1101100100010…
…01010110000100
321221011002021201
412302021112010
5213113340042
615143152244
72551234000
oct662112604
9257132251
10113808772
1159273240
1232145684
131a769b8c
1411187700
159ed11b7
hex6c89584

113808772 has 48 divisors (see below), whose sum is σ = 253411200. Its totient is φ = 44335200.

The previous prime is 113808769. The next prime is 113808787. The reversal of 113808772 is 277808311.

It is an unprimeable number.

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, 11322 + ... + 18862.

It is an arithmetic number, because the mean of its divisors is an integer number (5279400).

Almost surely, 2113808772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113808772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126705600).

113808772 is an abundant number, since it is smaller than the sum of its proper divisors (139602428).

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

113808772 is a wasteful number, since it uses less digits than its factorization.

113808772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 113808772 is about 10668.1194219037. The cubic root of 113808772 is about 484.6094876142.

The spelling of 113808772 in words is "one hundred thirteen million, eight hundred eight thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 1078 1372 2156 3773 7541 7546 15082 15092 30164 52787 82951 105574 165902 211148 331804 369509 580657 739018 1161314 1478036 2322628 2586563 4064599 5173126 8129198 10346252 16258396 28452193 56904386 113808772