Search a number
-
+
113995104 = 2537915031
BaseRepresentation
bin1101100101101…
…10110101100000
321221111112212220
412302312311200
5213140320404
615151151040
72552641146
oct662666540
9257445786
10113995104
1159390233
1232215480
131a803932
14111d5596
15a01b4d9
hex6cb6d60

113995104 has 48 divisors (see below), whose sum is σ = 303045120. Its totient is φ = 37514880.

The previous prime is 113995093. The next prime is 113995109. The reversal of 113995104 is 401599311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113995109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 15099.

It is an arithmetic number, because the mean of its divisors is an integer number (6313440).

Almost surely, 2113995104 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 113995104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151522560).

113995104 is an abundant number, since it is smaller than the sum of its proper divisors (189050016).

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

113995104 is a wasteful number, since it uses less digits than its factorization.

113995104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15123 (or 15115 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 113995104 is about 10676.8489733629. The cubic root of 113995104 is about 484.8738170338.

The spelling of 113995104 in words is "one hundred thirteen million, nine hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 15031 30062 45093 60124 90186 120248 180372 240496 360744 480992 721488 1187449 1442976 2374898 3562347 4749796 7124694 9499592 14249388 18999184 28498776 37998368 56997552 113995104