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4012080 = 243573229
BaseRepresentation
bin1111010011100000110000
321112211112120
433103200300
52011341310
6221554240
746050012
oct17234060
97484476
104012080
1122a0376
121415980
13aa6217
147661b2
15543b70
hex3d3830

4012080 has 80 divisors (see below), whose sum is σ = 12662880. Its totient is φ = 1050624.

The previous prime is 4012079. The next prime is 4012081. The reversal of 4012080 is 802104.

It is an interprime number because it is at equal distance from previous prime (4012079) and next prime (4012081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4012081) 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, 17406 + ... + 17634.

It is an arithmetic number, because the mean of its divisors is an integer number (158286).

Almost surely, 24012080 is an apocalyptic number.

4012080 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 4012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331440).

4012080 is an abundant number, since it is smaller than the sum of its proper divisors (8650800).

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

4012080 is a wasteful number, since it uses less digits than its factorization.

4012080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4012080 is about 2003.0177233365. The cubic root of 4012080 is about 158.8997429750.

Adding to 4012080 its reverse (802104), we get a palindrome (4814184).

The spelling of 4012080 in words is "four million, twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 229 240 292 365 438 458 584 687 730 876 916 1095 1145 1168 1374 1460 1752 1832 2190 2290 2748 2920 3435 3504 3664 4380 4580 5496 5840 6870 8760 9160 10992 13740 16717 17520 18320 27480 33434 50151 54960 66868 83585 100302 133736 167170 200604 250755 267472 334340 401208 501510 668680 802416 1003020 1337360 2006040 4012080