Search a number
-
+
10169145 = 345717211
BaseRepresentation
bin100110110010…
…101100111001
3201010122110000
4212302230321
510100403040
61001543213
7152302440
oct46625471
921118400
1010169145
115816258
1234a4b09
13215085c
1414c9d57
15d5d130
hex9b2b39

10169145 has 80 divisors (see below), whose sum is σ = 22163328. Its totient is φ = 4354560.

The previous prime is 10169143. The next prime is 10169167. The reversal of 10169145 is 54196101.

It is not a de Polignac number, because 10169145 - 21 = 10169143 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10169141) 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 79 ways as a sum of consecutive naturals, for example, 48090 + ... + 48300.

Almost surely, 210169145 is an apocalyptic number.

10169145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10169145 is an abundant number, since it is smaller than the sum of its proper divisors (11994183).

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

10169145 is a wasteful number, since it uses less digits than its factorization.

10169145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10169145 is about 3188.9096882791. The cubic root of 10169145 is about 216.6513901129.

The spelling of 10169145 in words is "ten million, one hundred sixty-nine thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 211 255 315 357 405 459 567 595 633 765 945 1055 1071 1377 1477 1785 1899 2295 2835 3165 3213 3587 4431 5355 5697 6885 7385 9495 9639 10761 13293 16065 17091 17935 22155 25109 28485 32283 39879 48195 53805 66465 75327 85455 96849 119637 125545 161415 199395 225981 290547 376635 484245 598185 677943 1129905 1452735 2033829 3389715 10169145