Search a number
-
+
114414020 = 22572313373
BaseRepresentation
bin1101101000111…
…01000111000100
321222021211112022
412310131013010
5213242222040
615204142312
72556334400
oct664350704
9258254468
10114414020
1159646a46
1232397998
131a91c506
14112a4100
15a0a06b5
hex6d1d1c4

114414020 has 72 divisors (see below), whose sum is σ = 281141784. Its totient is φ = 38997504.

The previous prime is 114414011. The next prime is 114414023. The reversal of 114414020 is 20414411.

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 114404416 = 98^2 + 10696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114414020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114414023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306554 + ... + 306926.

It is an arithmetic number, because the mean of its divisors is an integer number (3904747).

Almost surely, 2114414020 is an apocalyptic number.

114414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140570892).

114414020 is an abundant number, since it is smaller than the sum of its proper divisors (166727764).

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

114414020 is a wasteful number, since it uses less digits than its factorization.

114414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 114414020 is about 10696.4489434578. The cubic root of 114414020 is about 485.4670386879.

Adding to 114414020 its reverse (20414411), we get a palindrome (134828431).

The spelling of 114414020 in words is "one hundred fourteen million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 313 373 490 626 746 980 1252 1492 1565 1865 2191 2611 3130 3730 4382 5222 6260 7460 8764 10444 10955 13055 15337 18277 21910 26110 30674 36554 43820 52220 61348 73108 76685 91385 116749 153370 182770 233498 306740 365540 466996 583745 817243 1167490 1634486 2334980 3268972 4086215 5720701 8172430 11441402 16344860 22882804 28603505 57207010 114414020