Search a number
-
+
116700507 = 3972112
BaseRepresentation
bin1101111010010…
…11010101011011
322010121000000000
412331023111123
5214333404012
615325144043
72614636500
oct675132533
9263530000
10116700507
115a968900
12330bb023
131b240171
14116db4a7
15a3a2ddc
hex6f4b55b

116700507 has 90 divisors (see below), whose sum is σ = 223821444. Its totient is φ = 60623640.

The previous prime is 116700491. The next prime is 116700509. The reversal of 116700507 is 705007611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 116700507 - 24 = 116700491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116700509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 10609132 + ... + 10609142.

Almost surely, 2116700507 is an apocalyptic number.

116700507 is a deficient number, since it is larger than the sum of its proper divisors (107120937).

116700507 is an frugal number, since it uses more digits than its factorization.

116700507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 116700507 is about 10802.8008868071. The cubic root of 116700507 is about 488.6796426305.

Multiplying 116700507 by its sum of digits (27), we get a square (3150913689 = 561332).

116700507 divided by its sum of digits (27) gives a square (4322241 = 20792).

The spelling of 116700507 in words is "one hundred sixteen million, seven hundred thousand, five hundred seven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 243 297 363 441 539 567 693 729 847 891 1089 1323 1617 1701 2079 2187 2541 2673 3267 3969 4851 5103 5929 6237 6561 7623 8019 9801 11907 14553 15309 17787 18711 19683 22869 24057 29403 35721 43659 45927 53361 56133 68607 72171 88209 107163 130977 137781 160083 168399 205821 216513 264627 321489 392931 480249 505197 617463 793881 964467 1178793 1440747 1515591 1852389 2381643 3536379 4322241 5557167 10609137 12966723 16671501 38900169 116700507