Search a number
-
+
114212520 = 23325317257
BaseRepresentation
bin1101100111010…
…11111010101000
321221220121010100
412303223322220
5213214300040
615155545400
72554535052
oct663537250
9257817110
10114212520
1159519614
12322bb260
131a87b896
14112508d2
15a060b30
hex6cebea8

114212520 has 48 divisors (see below), whose sum is σ = 371191860. Its totient is φ = 30456576.

The previous prime is 114212467. The next prime is 114212521. The reversal of 114212520 is 25212411.

114212520 is a `hidden beast` number, since 1 + 142 + 1 + 2 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110124036 + 4088484 = 10494^2 + 2022^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114212493 and 114212502.

It is not an unprimeable number, because it can be changed into a prime (114212521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158269 + ... + 158988.

Almost surely, 2114212520 is an apocalyptic number.

114212520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114212520 is an abundant number, since it is smaller than the sum of its proper divisors (256979340).

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

114212520 is a wasteful number, since it uses less digits than its factorization.

114212520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317274 (or 317267 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114212520 is about 10687.0257789527. The cubic root of 114212520 is about 485.1818781494.

Adding to 114212520 its reverse (25212411), we get a palindrome (139424931).

The spelling of 114212520 in words is "one hundred fourteen million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 317257 634514 951771 1269028 1586285 1903542 2538056 2855313 3172570 3807084 4758855 5710626 6345140 7614168 9517710 11421252 12690280 14276565 19035420 22842504 28553130 38070840 57106260 114212520