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4131072 = 283211163
BaseRepresentation
bin1111110000100100000000
321202212202200
433300210000
52024143242
6224313200
750053641
oct17604400
97685680
104131072
112371810
121472800
13b1842a
147976c8
1556904c
hex3f0900

4131072 has 108 divisors (see below), whose sum is σ = 13073424. Its totient is φ = 1244160.

The previous prime is 4131059. The next prime is 4131073. The reversal of 4131072 is 2701314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4131073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25263 + ... + 25425.

Almost surely, 24131072 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 4131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536712).

4131072 is an abundant number, since it is smaller than the sum of its proper divisors (8942352).

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

4131072 is a wasteful number, since it uses less digits than its factorization.

4131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4131072 is about 2032.5038745351. The cubic root of 4131072 is about 160.4553694289.

Adding to 4131072 its reverse (2701314), we get a palindrome (6832386).

It can be divided in two parts, 413 and 1072, that added together give a triangular number (1485 = T54).

The spelling of 4131072 in words is "four million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 163 176 192 198 256 264 288 326 352 384 396 489 528 576 652 704 768 792 978 1056 1152 1304 1408 1467 1584 1793 1956 2112 2304 2608 2816 2934 3168 3586 3912 4224 5216 5379 5868 6336 7172 7824 8448 10432 10758 11736 12672 14344 15648 16137 20864 21516 23472 25344 28688 31296 32274 41728 43032 46944 57376 62592 64548 86064 93888 114752 125184 129096 172128 187776 229504 258192 344256 375552 459008 516384 688512 1032768 1377024 2065536 4131072