Search a number
-
+
4096320 = 263517251
BaseRepresentation
bin1111101000000101000000
321201010002120
433220011000
52022040240
6223444240
746550424
oct17500500
97633076
104096320
112348698
121456680
13b05677
14788b84
1555dad0
hex3e8140

4096320 has 112 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 1024000.

The previous prime is 4096319. The next prime is 4096327. The reversal of 4096320 is 236904.

4096320 = T40 + T41 + ... + T290.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096327) 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, 16195 + ... + 16445.

It is an arithmetic number, because the mean of its divisors is an integer number (123444).

Almost surely, 24096320 is an apocalyptic number.

4096320 is a gapful number since it is divisible by the number (40) 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 4096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

4096320 is an abundant number, since it is smaller than the sum of its proper divisors (9729408).

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

4096320 is a wasteful number, since it uses less digits than its factorization.

4096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

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

The square root of 4096320 is about 2023.9367579052. The cubic root of 4096320 is about 160.0041665582.

The spelling of 4096320 in words is "four million, ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 251 255 272 320 340 408 480 502 510 544 680 753 816 960 1004 1020 1088 1255 1360 1506 1632 2008 2040 2510 2720 3012 3264 3765 4016 4080 4267 5020 5440 6024 7530 8032 8160 8534 10040 12048 12801 15060 16064 16320 17068 20080 21335 24096 25602 30120 34136 40160 42670 48192 51204 60240 64005 68272 80320 85340 102408 120480 128010 136544 170680 204816 240960 256020 273088 341360 409632 512040 682720 819264 1024080 1365440 2048160 4096320