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4016080 = 245172953
BaseRepresentation
bin1111010100011111010000
321120001000201
433110133100
52012003310
6222024544
746064455
oct17243720
97501021
104016080
1122a3382
121418154
13aa7ca3
1476782c
15544e3a
hex3d47d0

4016080 has 40 divisors (see below), whose sum is σ = 9889992. Its totient is φ = 1511424.

The previous prime is 4016059. The next prime is 4016093. The reversal of 4016080 is 806104.

It can be written as a sum of positive squares in 4 ways, for example, as 1430416 + 2585664 = 1196^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40160802 = 32257797132800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 2836.

Almost surely, 24016080 is an apocalyptic number.

4016080 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 4016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944996).

4016080 is an abundant number, since it is smaller than the sum of its proper divisors (5873912).

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

4016080 is a wasteful number, since it uses less digits than its factorization.

4016080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4016080 is about 2004.0159680003. The cubic root of 4016080 is about 158.9525325389.

The spelling of 4016080 in words is "four million, sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2953 5906 11812 14765 23624 29530 47248 50201 59060 100402 118120 200804 236240 251005 401608 502010 803216 1004020 2008040 4016080