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114681892 = 221329113673
BaseRepresentation
bin1101101010111…
…10100000100100
321222210102222111
412311132200210
5213324310032
615214010404
72561531353
oct665364044
9258712874
10114681892
115980a226
12324a6a04
131a9b4410
141133399a
15a104c47
hex6d5e824

114681892 has 48 divisors (see below), whose sum is σ = 225897840. Its totient is φ = 50577408.

The previous prime is 114681869. The next prime is 114681893. The reversal of 114681892 is 298186411.

It can be written as a sum of positive squares in 8 ways, for example, as 36288576 + 78393316 = 6024^2 + 8854^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (114681893) 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 15 ways as a sum of consecutive naturals, for example, 170068 + ... + 170740.

It is an arithmetic number, because the mean of its divisors is an integer number (4706205).

Almost surely, 2114681892 is an apocalyptic number.

It is an amenable number.

114681892 is a deficient number, since it is larger than the sum of its proper divisors (111215948).

114681892 is a wasteful number, since it uses less digits than its factorization.

114681892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The square root of 114681892 is about 10708.9631617631. The cubic root of 114681892 is about 485.8456102142.

It can be divided in two parts, 1146 and 81892, that added together give a palindrome (83038).

The spelling of 114681892 in words is "one hundred fourteen million, six hundred eighty-one thousand, eight hundred ninety-two".

Divisors: 1 2 4 13 26 29 52 58 113 116 226 377 452 673 754 1346 1469 1508 2692 2938 3277 5876 6554 8749 13108 17498 19517 34996 39034 42601 76049 78068 85202 152098 170404 253721 304196 507442 988637 1014884 1977274 2205421 3954548 4410842 8821684 28670473 57340946 114681892