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4068680 = 2357111321
BaseRepresentation
bin1111100001010101001000
321122201011212
433201111020
52020144210
6223112252
746404020
oct17412510
97581155
104068680
112329950
121442688
13ac5c05
1477ca80
15555805
hex3e1548

4068680 has 64 divisors (see below), whose sum is σ = 11422080. Its totient is φ = 1267200.

The previous prime is 4068667. The next prime is 4068683. The reversal of 4068680 is 868604.

Added to its reverse (868604) it gives a square (4937284 = 22222).

4068680 = T419 + T420 + ... + T460.

It is not an unprimeable number, because it can be changed into a prime (4068683) 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, 2420 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (178470).

Almost surely, 24068680 is an apocalyptic number.

4068680 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 4068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711040).

4068680 is an abundant number, since it is smaller than the sum of its proper divisors (7353400).

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

4068680 is a wasteful number, since it uses less digits than its factorization.

4068680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 4068680 is about 2017.0969237992. The cubic root of 4068680 is about 159.6434769943.

Adding to 4068680 its reverse (868604), we get a square (4937284 = 22222).

The spelling of 4068680 in words is "four million, sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1321 1540 2642 3080 5284 6605 9247 10568 13210 14531 18494 26420 29062 36988 46235 52840 58124 72655 73976 92470 101717 116248 145310 184940 203434 290620 369880 406868 508585 581240 813736 1017170 2034340 4068680