Search a number
-
+
4060368 = 243413241
BaseRepresentation
bin1111011111010011010000
321122021210000
433133103100
52014412433
6223010000
746340544
oct17372320
97567700
104060368
112323684
121439900
13ac21b0
14779a24
15553113
hex3df4d0

4060368 has 100 divisors (see below), whose sum is σ = 12708388. Its totient is φ = 1244160.

The previous prime is 4060339. The next prime is 4060369. The reversal of 4060368 is 8630604.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 2286144 = 1332^2 + 1512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4060369) 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 19 ways as a sum of consecutive naturals, for example, 16728 + ... + 16968.

Almost surely, 24060368 is an apocalyptic number.

4060368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4060368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354194).

4060368 is an abundant number, since it is smaller than the sum of its proper divisors (8648020).

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

4060368 is a wasteful number, since it uses less digits than its factorization.

4060368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4060368 is about 2015.0354835585. The cubic root of 4060368 is about 159.5346897684.

The spelling of 4060368 in words is "four million, sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 241 312 324 351 432 468 482 624 648 702 723 936 964 1053 1296 1404 1446 1872 1928 2106 2169 2808 2892 3133 3856 4212 4338 5616 5784 6266 6507 8424 8676 9399 11568 12532 13014 16848 17352 18798 19521 25064 26028 28197 34704 37596 39042 50128 52056 56394 75192 78084 84591 104112 112788 150384 156168 169182 225576 253773 312336 338364 451152 507546 676728 1015092 1353456 2030184 4060368