Search a number
-
+
113866848 = 25321920809
BaseRepresentation
bin1101100100101…
…11100001100000
321221021000221200
412302113201200
5213122214343
615144321200
72551565214
oct662274140
9257230850
10113866848
1159302937
1232173200
131a78a444
14111a0944
159ee34d3
hex6c97860

113866848 has 72 divisors (see below), whose sum is σ = 340867800. Its totient is φ = 35956224.

The previous prime is 113866817. The next prime is 113866861. The reversal of 113866848 is 848668311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4933 + ... + 15876.

It is an arithmetic number, because the mean of its divisors is an integer number (4734275).

Almost surely, 2113866848 is an apocalyptic number.

113866848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113866848 is an abundant number, since it is smaller than the sum of its proper divisors (227000952).

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

113866848 is a wasteful number, since it uses less digits than its factorization.

113866848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20844 (or 20833 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 113866848 is about 10670.8410165272. The cubic root of 113866848 is about 484.6919047958.

The spelling of 113866848 in words is "one hundred thirteen million, eight hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 20809 41618 62427 83236 124854 166472 187281 249708 332944 374562 395371 499416 665888 749124 790742 998832 1186113 1498248 1581484 1997664 2372226 2996496 3162968 3558339 4744452 5992992 6325936 7116678 9488904 12651872 14233356 18977808 28466712 37955616 56933424 113866848