Search a number
-
+
4105728 = 293611
BaseRepresentation
bin1111101010011000000000
321201121000000
433222120000
52022340403
6224000000
746620024
oct17523000
97647000
104105728
112354770
121460000
13b09a33
1478c384
155617a3
hex3ea600

4105728 has 140 divisors (see below), whose sum is σ = 13417668. Its totient is φ = 1244160.

The previous prime is 4105711. The next prime is 4105763. The reversal of 4105728 is 8275014.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373243 + ... + 373253.

Almost surely, 24105728 is an apocalyptic number.

4105728 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 4105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708834).

4105728 is an abundant number, since it is smaller than the sum of its proper divisors (9311940).

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

4105728 is an frugal number, since it uses more digits than its factorization.

4105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4105728 is about 2026.2596082437. The cubic root of 4105728 is about 160.1265665210.

The spelling of 4105728 in words is "four million, one hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 243 256 264 288 297 324 352 384 396 432 486 512 528 576 594 648 704 729 768 792 864 891 972 1056 1152 1188 1296 1408 1458 1536 1584 1728 1782 1944 2112 2304 2376 2592 2673 2816 2916 3168 3456 3564 3888 4224 4608 4752 5184 5346 5632 5832 6336 6912 7128 7776 8019 8448 9504 10368 10692 11664 12672 13824 14256 15552 16038 16896 19008 20736 21384 23328 25344 28512 31104 32076 38016 41472 42768 46656 50688 57024 62208 64152 76032 85536 93312 114048 124416 128304 152064 171072 186624 228096 256608 342144 373248 456192 513216 684288 1026432 1368576 2052864 4105728