Search a number
-
+
145586931 = 3729613919
BaseRepresentation
bin10001010110101…
…11101011110011
3101010221120201120
420223113223303
5244232240211
622240233323
73415316460
oct1053275363
9333846646
10145586931
11751a8686
124090b843
1324215319
141549a667
15cbabd06
hex8ad7af3

145586931 has 32 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 78986880.

The previous prime is 145586923. The next prime is 145586957. The reversal of 145586931 is 139685541.

It is not a de Polignac number, because 145586931 - 23 = 145586923 is a prime.

It is a super-2 number, since 2×1455869312 = 42391108955997522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145586921) 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 31 ways as a sum of consecutive naturals, for example, 35190 + ... + 39108.

It is an arithmetic number, because the mean of its divisors is an integer number (7291200).

Almost surely, 2145586931 is an apocalyptic number.

145586931 is a deficient number, since it is larger than the sum of its proper divisors (87731469).

145586931 is a wasteful number, since it uses less digits than its factorization.

145586931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019.

The product of its digits is 129600, while the sum is 42.

The square root of 145586931 is about 12065.9409496317. The cubic root of 145586931 is about 526.0666820675.

The spelling of 145586931 in words is "one hundred forty-five million, five hundred eighty-six thousand, nine hundred thirty-one".

Divisors: 1 3 7 21 29 61 87 183 203 427 609 1281 1769 3919 5307 11757 12383 27433 37149 82299 113651 239059 340953 717177 795557 1673413 2386671 5020239 6932711 20798133 48528977 145586931