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4112320 = 26571181
BaseRepresentation
bin1111101011111111000000
321201221001011
433223333000
52023043240
6224050304
746645162
oct17537700
97657034
104112320
112359713
121463994
13b0ca34
14790932
155636ea
hex3ebfc0

4112320 has 56 divisors (see below), whose sum is σ = 9985248. Its totient is φ = 1612800.

The previous prime is 4112299. The next prime is 4112321. The reversal of 4112320 is 232114.

It is a super-2 number, since 2×41123202 = 33822351564800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 4112320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22630 + ... + 22810.

It is an arithmetic number, because the mean of its divisors is an integer number (178308).

Almost surely, 24112320 is an apocalyptic number.

4112320 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 4112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624).

4112320 is an abundant number, since it is smaller than the sum of its proper divisors (5872928).

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

4112320 is a wasteful number, since it uses less digits than its factorization.

4112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4112320 is about 2027.8855983511. The cubic root of 4112320 is about 160.2122183965.

Adding to 4112320 its reverse (232114), we get a palindrome (4344434).

The spelling of 4112320 in words is "four million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 181 284 320 355 362 568 710 724 905 1136 1420 1448 1810 2272 2840 2896 3620 4544 5680 5792 7240 11360 11584 12851 14480 22720 25702 28960 51404 57920 64255 102808 128510 205616 257020 411232 514040 822464 1028080 2056160 4112320