Search a number
-
+
3009136 = 2413172337
BaseRepresentation
bin1011011110101001110000
312122212202111
423132221300
51232243021
6144255104
734401664
oct13365160
95585674
103009136
111775899
121011494
13814870
145848a4
153e68e1
hex2dea70

3009136 has 80 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 1216512.

The previous prime is 3009131. The next prime is 3009137. The reversal of 3009136 is 6319003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81310 + ... + 81346.

Almost surely, 23009136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

3009136 is an abundant number, since it is smaller than the sum of its proper divisors (4115408).

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

3009136 is a wasteful number, since it uses less digits than its factorization.

3009136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 3009136 is about 1734.6861387582. The cubic root of 3009136 is about 144.3712130214.

The spelling of 3009136 in words is "three million, nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 23 26 34 37 46 52 68 74 92 104 136 148 184 208 221 272 296 299 368 391 442 481 592 598 629 782 851 884 962 1196 1258 1564 1702 1768 1924 2392 2516 3128 3404 3536 3848 4784 5032 5083 6256 6808 7696 8177 10064 10166 11063 13616 14467 16354 20332 22126 28934 32708 40664 44252 57868 65416 81328 88504 115736 130832 177008 188071 231472 376142 752284 1504568 3009136