Search a number
-
+
116281431 = 32747173227
BaseRepresentation
bin1101110111001…
…01000001010111
322002210201010200
412323211001113
5214232001211
615312151543
72611242630
oct673450127
9262721120
10116281431
115a701a62
1232b385b3
131b1244a6
141162c887
15a31db56
hex6ee5057

116281431 has 48 divisors (see below), whose sum is σ = 198042624. Its totient is φ = 64372032.

The previous prime is 116281427. The next prime is 116281439. The reversal of 116281431 is 134182611.

It is a happy number.

116281431 is a `hidden beast` number, since 1 + 1 + 628 + 1 + 4 + 31 = 666.

It is not a de Polignac number, because 116281431 - 22 = 116281427 is a prime.

It is a super-2 number, since 2×1162814312 = 27042742390815522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116281395 and 116281404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116281439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512140 + ... + 512366.

It is an arithmetic number, because the mean of its divisors is an integer number (4125888).

Almost surely, 2116281431 is an apocalyptic number.

116281431 is a deficient number, since it is larger than the sum of its proper divisors (81761193).

116281431 is a wasteful number, since it uses less digits than its factorization.

116281431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 457 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 116281431 is about 10783.3868056376. The cubic root of 116281431 is about 488.0939852461.

The spelling of 116281431 in words is "one hundred sixteen million, two hundred eighty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 47 63 141 173 227 329 423 519 681 987 1211 1557 1589 2043 2961 3633 4767 8131 10669 10899 14301 24393 32007 39271 56917 73179 74683 96021 117813 170751 224049 274897 353439 512253 672147 824691 1845737 2474073 5537211 12920159 16611633 38760477 116281431