Search a number
-
+
114210408 = 23313438513
BaseRepresentation
bin1101100111010…
…11011001101000
321221220111020010
412303223121220
5213214213113
615155531520
72554525644
oct663533150
9257814203
10114210408
1159517a74
12322b9ba0
131a87a930
141124dc24
15a0601c3
hex6ceb668

114210408 has 64 divisors (see below), whose sum is σ = 314677440. Its totient is φ = 34320384.

The previous prime is 114210401. The next prime is 114210431. The reversal of 114210408 is 804012411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114210401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9160 + ... + 17672.

It is an arithmetic number, because the mean of its divisors is an integer number (4916835).

Almost surely, 2114210408 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 114210408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157338720).

114210408 is an abundant number, since it is smaller than the sum of its proper divisors (200467032).

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

114210408 is a wasteful number, since it uses less digits than its factorization.

114210408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 114210408 is about 10686.9269670940. The cubic root of 114210408 is about 485.1788874952.

Adding to 114210408 its reverse (804012411), we get a palindrome (918222819).

The spelling of 114210408 in words is "one hundred fourteen million, two hundred ten thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 8513 13416 17026 25539 34052 51078 68104 102156 110669 204312 221338 332007 366059 442676 664014 732118 885352 1098177 1328028 1464236 2196354 2656056 2928472 4392708 4758767 8785416 9517534 14276301 19035068 28552602 38070136 57105204 114210408