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4006240 = 2557373
BaseRepresentation
bin1111010010000101100000
321112112112021
433102011200
52011144430
6221511224
746024000
oct17220540
97475467
104006240
112296a47
121412514
13aa3674
14764000
1554207a
hex3d2160

4006240 has 96 divisors (see below), whose sum is σ = 11188800. Its totient is φ = 1354752.

The previous prime is 4006231. The next prime is 4006241. The reversal of 4006240 is 426004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006241) 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, 54844 + ... + 54916.

It is an arithmetic number, because the mean of its divisors is an integer number (116550).

Almost surely, 24006240 is an apocalyptic number.

4006240 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 4006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400).

4006240 is an abundant number, since it is smaller than the sum of its proper divisors (7182560).

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

4006240 is an equidigital number, since it uses as much as digits as its factorization.

4006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4006240 is about 2001.5593920741. The cubic root of 4006240 is about 158.8226071654.

The spelling of 4006240 in words is "four million, six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 73 80 98 112 140 146 160 196 224 245 280 292 343 365 392 490 511 560 584 686 730 784 980 1022 1120 1168 1372 1460 1568 1715 1960 2044 2336 2555 2744 2920 3430 3577 3920 4088 5110 5488 5840 6860 7154 7840 8176 10220 10976 11680 13720 14308 16352 17885 20440 25039 27440 28616 35770 40880 50078 54880 57232 71540 81760 100156 114464 125195 143080 200312 250390 286160 400624 500780 572320 801248 1001560 2003120 4006240