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4024240 = 2451117269
BaseRepresentation
bin1111010110011110110000
321120110012221
433112132300
52012233430
6222130424
746130323
oct17263660
97513187
104024240
1122a9520
121420a14
13aab90c
1476a7ba
1554757a
hex3d67b0

4024240 has 80 divisors (see below), whose sum is σ = 10847520. Its totient is φ = 1372160.

The previous prime is 4024211. The next prime is 4024259. The reversal of 4024240 is 424204.

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 (16).

It is an unprimeable number.

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, 14826 + ... + 15094.

It is an arithmetic number, because the mean of its divisors is an integer number (135594).

Almost surely, 24024240 is an apocalyptic number.

4024240 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 4024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423760).

4024240 is an abundant number, since it is smaller than the sum of its proper divisors (6823280).

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

4024240 is a wasteful number, since it uses less digits than its factorization.

4024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4024240 is about 2006.0508468132. The cubic root of 4024240 is about 159.0601146581.

Adding to 4024240 its reverse (424204), we get a palindrome (4448444).

The spelling of 4024240 in words is "four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 269 272 340 374 440 538 680 748 880 935 1076 1345 1360 1496 1870 2152 2690 2959 2992 3740 4304 4573 5380 5918 7480 9146 10760 11836 14795 14960 18292 21520 22865 23672 29590 36584 45730 47344 50303 59180 73168 91460 100606 118360 182920 201212 236720 251515 365840 402424 503030 804848 1006060 2012120 4024240