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83681172 = 223211172081
BaseRepresentation
bin1001111110011…
…01111110010100
312211110102222200
410333031332110
5132410244142
612145324500
72034164301
oct477157624
9184412880
1083681172
11432659a3
1224036730
131444bab3
14b1840a8
15752e64c
hex4fcdf94

83681172 has 36 divisors (see below), whose sum is σ = 211818516. Its totient is φ = 27855360.

The previous prime is 83681167. The next prime is 83681177. The reversal of 83681172 is 27118638.

It is an interprime number because it is at equal distance from previous prime (83681167) and next prime (83681177).

It can be written as a sum of positive squares in 2 ways, for example, as 15023376 + 68657796 = 3876^2 + 8286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83681177) 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 11 ways as a sum of consecutive naturals, for example, 39172 + ... + 41252.

Almost surely, 283681172 is an apocalyptic number.

It is an amenable number.

83681172 is an abundant number, since it is smaller than the sum of its proper divisors (128137344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83681172 is a wasteful number, since it uses less digits than its factorization.

83681172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3203 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 83681172 is about 9147.7413605764. The cubic root of 83681172 is about 437.3971188835.

The spelling of 83681172 in words is "eighty-three million, six hundred eighty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1117 2081 2234 3351 4162 4468 6243 6702 8324 10053 12486 13404 18729 20106 24972 37458 40212 74916 2324477 4648954 6973431 9297908 13946862 20920293 27893724 41840586 83681172