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4013280 = 25335929
BaseRepresentation
bin1111010011110011100000
321112220012000
433103303200
52011411110
6222004000
746053345
oct17236340
97486160
104013280
1122a1267
121416600
13aa692b
147667cc
155441c0
hex3d3ce0

4013280 has 96 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1069056.

The previous prime is 4013267. The next prime is 4013287. The reversal of 4013280 is 823104.

It is a happy number.

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

It is a super-2 number, since 2×40132802 = 32212832716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013287) 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, 3856 + ... + 4784.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 24013280 is an apocalyptic number.

4013280 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 4013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

4013280 is an abundant number, since it is smaller than the sum of its proper divisors (10048320).

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

4013280 is a wasteful number, since it uses less digits than its factorization.

4013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4013280 is about 2003.3172489648. The cubic root of 4013280 is about 158.9155835269.

Adding to 4013280 its reverse (823104), we get a palindrome (4836384).

The spelling of 4013280 in words is "four million, thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 929 1080 1440 1858 2160 2787 3716 4320 4645 5574 7432 8361 9290 11148 13935 14864 16722 18580 22296 25083 27870 29728 33444 37160 41805 44592 50166 55740 66888 74320 83610 89184 100332 111480 125415 133776 148640 167220 200664 222960 250830 267552 334440 401328 445920 501660 668880 802656 1003320 1337760 2006640 4013280