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4012320 = 253513643
BaseRepresentation
bin1111010011100100100000
321112211212110
433103210200
52011343240
6221555320
746050504
oct17234440
97484773
104012320
1122a0574
121415b40
13aa6370
14766304
15543c80
hex3d3920

4012320 has 96 divisors (see below), whose sum is σ = 13632192. Its totient is φ = 986112.

The previous prime is 4012297. The next prime is 4012321. The reversal of 4012320 is 232104.

4012320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4012296 and 4012305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012321) 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, 5919 + ... + 6561.

It is an arithmetic number, because the mean of its divisors is an integer number (142002).

Almost surely, 24012320 is an apocalyptic number.

4012320 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 4012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816096).

4012320 is an abundant number, since it is smaller than the sum of its proper divisors (9619872).

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

4012320 is a wasteful number, since it uses less digits than its factorization.

4012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4012320 is about 2003.0776320452. The cubic root of 4012320 is about 158.9029113381.

Adding to 4012320 its reverse (232104), we get a palindrome (4244424).

The spelling of 4012320 in words is "four million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 643 780 1040 1248 1286 1560 1929 2080 2572 3120 3215 3858 5144 6240 6430 7716 8359 9645 10288 12860 15432 16718 19290 20576 25077 25720 30864 33436 38580 41795 50154 51440 61728 66872 77160 83590 100308 102880 125385 133744 154320 167180 200616 250770 267488 308640 334360 401232 501540 668720 802464 1003080 1337440 2006160 4012320