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93149 = 721901
BaseRepresentation
bin10110101111011101
311201202222
4112233131
510440044
61555125
7535400
oct265735
9151688
1093149
1163a91
1245aa5
1333524
1425d37
151c8ee
hex16bdd

93149 has 6 divisors (see below), whose sum is σ = 108414. Its totient is φ = 79800.

The previous prime is 93139. The next prime is 93151. The reversal of 93149 is 94139.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 33124 = 245^2 + 182^2 .

It is not a de Polignac number, because 93149 - 24 = 93133 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93149.

It is not an unprimeable number, because it can be changed into a prime (93139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 902 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (18069).

293149 is an apocalyptic number.

It is an amenable number.

93149 is a deficient number, since it is larger than the sum of its proper divisors (15265).

93149 is a wasteful number, since it uses less digits than its factorization.

93149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1908 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 93149 is about 305.2032109923. The cubic root of 93149 is about 45.3307320211.

Subtracting 93149 from its reverse (94139), we obtain a triangular number (990 = T44).

It can be divided in two parts, 93 and 149, that added together give a palindrome (242).

The spelling of 93149 in words is "ninety-three thousand, one hundred forty-nine".

Divisors: 1 7 49 1901 13307 93149