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3128136 = 2331117241
BaseRepresentation
bin1011111011101101001000
312212220222220
423323231020
51300100021
6151014040
735405634
oct13735510
95786886
103128136
111847240
12106a320
13856a8b
145b5dc4
1541bcc6
hex2fbb48

3128136 has 96 divisors (see below), whose sum is σ = 9283680. Its totient is φ = 870400.

The previous prime is 3128131. The next prime is 3128159. The reversal of 3128136 is 6318213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128131) 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 23 ways as a sum of consecutive naturals, for example, 76276 + ... + 76316.

It is an arithmetic number, because the mean of its divisors is an integer number (96705).

Almost surely, 23128136 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 3128136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641840).

3128136 is an abundant number, since it is smaller than the sum of its proper divisors (6155544).

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

3128136 is a wasteful number, since it uses less digits than its factorization.

3128136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3128136 is about 1768.6537252950. The cubic root of 3128136 is about 146.2497757320.

It can be divided in two parts, 312 and 8136, that added together give a palindrome (8448).

The spelling of 3128136 in words is "three million, one hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 41 44 51 66 68 82 88 102 123 132 136 164 187 204 246 264 289 328 374 408 451 492 561 578 697 748 867 902 984 1122 1156 1353 1394 1496 1734 1804 2091 2244 2312 2706 2788 3179 3468 3608 4182 4488 5412 5576 6358 6936 7667 8364 9537 10824 11849 12716 15334 16728 19074 23001 23698 25432 30668 35547 38148 46002 47396 61336 71094 76296 92004 94792 130339 142188 184008 260678 284376 391017 521356 782034 1042712 1564068 3128136