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4075240 = 2351317461
BaseRepresentation
bin1111100010111011101000
321200001011211
433202323220
52020401430
6223202504
746432111
oct17427350
97601154
104075240
112333874
121446434
13ac8bb0
14781208
1555772a
hex3e2ee8

4075240 has 64 divisors (see below), whose sum is σ = 10478160. Its totient is φ = 1413120.

The previous prime is 4075231. The next prime is 4075241. The reversal of 4075240 is 425704.

It can be written as a sum of positive squares in 8 ways, for example, as 1205604 + 2869636 = 1098^2 + 1694^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8610 + ... + 9070.

Almost surely, 24075240 is an apocalyptic number.

4075240 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 4075240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239080).

4075240 is an abundant number, since it is smaller than the sum of its proper divisors (6402920).

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

4075240 is a wasteful number, since it uses less digits than its factorization.

4075240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 4075240 is about 2018.7223682319. The cubic root of 4075240 is about 159.7292295294.

The spelling of 4075240 in words is "four million, seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 461 520 680 884 922 1105 1768 1844 2210 2305 3688 4420 4610 5993 7837 8840 9220 11986 15674 18440 23972 29965 31348 39185 47944 59930 62696 78370 101881 119860 156740 203762 239720 313480 407524 509405 815048 1018810 2037620 4075240