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40021240 = 235732917
BaseRepresentation
bin1001100010101…
…0110011111000
32210022021211011
42120222303320
540221134430
63545443304
7664114000
oct230526370
983267734
1040021240
1120655606
12114a0534
1383a340c
14545b000
1537a822a
hex262acf8

40021240 has 64 divisors (see below), whose sum is σ = 105048000. Its totient is φ = 13716864.

The previous prime is 40021231. The next prime is 40021243. The reversal of 40021240 is 4212004.

40021240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400212402 = 3203399302275200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40021240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40021243) 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, 12262 + ... + 15178.

It is an arithmetic number, because the mean of its divisors is an integer number (1641375).

Almost surely, 240021240 is an apocalyptic number.

40021240 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 40021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52524000).

40021240 is an abundant number, since it is smaller than the sum of its proper divisors (65026760).

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

40021240 is a wasteful number, since it uses less digits than its factorization.

40021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40021240 is about 6326.2342669237. The cubic root of 40021240 is about 342.0557117726.

Adding to 40021240 its reverse (4212004), we get a palindrome (44233244).

The spelling of 40021240 in words is "forty million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 2917 3430 5834 6860 11668 13720 14585 20419 23336 29170 40838 58340 81676 102095 116680 142933 163352 204190 285866 408380 571732 714665 816760 1000531 1143464 1429330 2001062 2858660 4002124 5002655 5717320 8004248 10005310 20010620 40021240