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40026840 = 23357172803
BaseRepresentation
bin1001100010110…
…0001011011000
32210022120111120
42120230023120
540221324330
63545525240
7664136220
oct230541330
983276446
1040026840
1120659837
12114a3820
1383a5b29
14545d080
1537a9c10
hex262c2d8

40026840 has 128 divisors (see below), whose sum is σ = 145359360. Its totient is φ = 8607744.

The previous prime is 40026829. The next prime is 40026841. The reversal of 40026840 is 4862004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40026840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40026841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12879 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (1135620).

Almost surely, 240026840 is an apocalyptic number.

40026840 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 40026840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72679680).

40026840 is an abundant number, since it is smaller than the sum of its proper divisors (105332520).

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

40026840 is a wasteful number, since it uses less digits than its factorization.

40026840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40026840 is about 6326.6768528193. The cubic root of 40026840 is about 342.0716651568.

Adding to 40026840 its reverse (4862004), we get a palindrome (44888844).

The spelling of 40026840 in words is "forty million, twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2803 2856 3570 4760 5606 7140 8409 11212 14015 14280 16818 19621 22424 28030 33636 39242 42045 47651 56060 58863 67272 78484 84090 95302 98105 112120 117726 142953 156968 168180 190604 196210 235452 238255 285906 294315 333557 336360 381208 392420 470904 476510 571812 588630 667114 714765 784840 953020 1000671 1143624 1177260 1334228 1429530 1667785 1906040 2001342 2354520 2668456 2859060 3335570 4002684 5003355 5718120 6671140 8005368 10006710 13342280 20013420 40026840