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131986845 = 3253119431
BaseRepresentation
bin1111101110111…
…11010110011101
3100012100121220200
413313133112131
5232242034340
621032534113
73161604204
oct767372635
9305317820
10131986845
1168559741
1238251339
1321462c33
141375a23b
15b8c2330
hex7ddf59d

131986845 has 24 divisors (see below), whose sum is σ = 229537152. Its totient is φ = 70159200.

The previous prime is 131986837. The next prime is 131986853. The reversal of 131986845 is 548689131.

It is an interprime number because it is at equal distance from previous prime (131986837) and next prime (131986853).

It is not a de Polignac number, because 131986845 - 23 = 131986837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 131986845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9280 + ... + 18710.

It is an arithmetic number, because the mean of its divisors is an integer number (9564048).

Almost surely, 2131986845 is an apocalyptic number.

131986845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131986845 is a deficient number, since it is larger than the sum of its proper divisors (97550307).

131986845 is a wasteful number, since it uses less digits than its factorization.

131986845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9753 (or 9750 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 131986845 is about 11488.5527809207. The cubic root of 131986845 is about 509.1474221190.

It can be divided in two parts, 13198684 and 5, that added together give a square (13198689 = 36332).

The spelling of 131986845 in words is "one hundred thirty-one million, nine hundred eighty-six thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 311 933 1555 2799 4665 9431 13995 28293 47155 84879 141465 424395 2933041 8799123 14665205 26397369 43995615 131986845