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3083136 = 27373137
BaseRepresentation
bin1011110000101110000000
312210122021020
423300232000
51242130021
6150025440
735130510
oct13605600
95718236
103083136
111816451
121048280
1383c454
145a3840
1540d7c6
hex2f0b80

3083136 has 128 divisors (see below), whose sum is σ = 9922560. Its totient is φ = 829440.

The previous prime is 3083131. The next prime is 3083141. The reversal of 3083136 is 6313803.

3083136 = T48 + T49 + ... + T264.

It is an interprime number because it is at equal distance from previous prime (3083131) and next prime (3083141).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083131) 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, 83310 + ... + 83346.

It is an arithmetic number, because the mean of its divisors is an integer number (77520).

Almost surely, 23083136 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 3083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961280).

3083136 is an abundant number, since it is smaller than the sum of its proper divisors (6839424).

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

3083136 is a wasteful number, since it uses less digits than its factorization.

3083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3083136 is about 1755.8861010897. The cubic root of 3083136 is about 145.5450905938.

Adding to 3083136 its reverse (6313803), we get a palindrome (9396939).

The spelling of 3083136 in words is "three million, eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 37 42 48 56 62 64 74 84 93 96 111 112 124 128 148 168 186 192 217 222 224 248 259 296 336 372 384 434 444 448 496 518 592 651 672 744 777 868 888 896 992 1036 1147 1184 1302 1344 1488 1554 1736 1776 1984 2072 2294 2368 2604 2688 2976 3108 3441 3472 3552 3968 4144 4588 4736 5208 5952 6216 6882 6944 7104 8029 8288 9176 10416 11904 12432 13764 13888 14208 16058 16576 18352 20832 24087 24864 27528 27776 32116 33152 36704 41664 48174 49728 55056 64232 73408 83328 96348 99456 110112 128464 146816 192696 220224 256928 385392 440448 513856 770784 1027712 1541568 3083136