Search a number
-
+
114737077 = 7213281641
BaseRepresentation
bin1101101011010…
…11111110110101
321222220020200101
412311223332311
5213333041302
615215114101
72562151300
oct665537665
9258806611
10114737077
1159847734
1232512931
131aa03580
1411349b37
15a116287
hex6d6bfb5

114737077 has 24 divisors (see below), whose sum is σ = 144473112. Its totient is φ = 90316800.

The previous prime is 114737069. The next prime is 114737099. The reversal of 114737077 is 770737411.

It can be written as a sum of positive squares in 4 ways, for example, as 28451556 + 86285521 = 5334^2 + 9289^2 .

It is not a de Polignac number, because 114737077 - 23 = 114737069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114737017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178677 + ... + 179317.

It is an arithmetic number, because the mean of its divisors is an integer number (6019713).

Almost surely, 2114737077 is an apocalyptic number.

It is an amenable number.

114737077 is a deficient number, since it is larger than the sum of its proper divisors (29736035).

114737077 is a wasteful number, since it uses less digits than its factorization.

114737077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 37.

The square root of 114737077 is about 10711.5394318464. The cubic root of 114737077 is about 485.9235274574.

The spelling of 114737077 in words is "one hundred fourteen million, seven hundred thirty-seven thousand, seventy-seven".

Divisors: 1 7 13 49 91 281 637 641 1967 3653 4487 8333 13769 25571 31409 58331 178997 180121 408317 1260847 2341573 8825929 16391011 114737077