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40254240 = 2535136451
BaseRepresentation
bin1001100110001…
…1101100100000
32210202010102210
42121203230200
540301113430
63554442120
7666104205
oct231435440
983663383
1040254240
11207a4674
1211593340
1384554a0
1454bbcac
1538022b0
hex2663b20

40254240 has 96 divisors (see below), whose sum is σ = 136575936. Its totient is φ = 9907200.

The previous prime is 40254229. The next prime is 40254259. The reversal of 40254240 is 4245204.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3015 + ... + 9465.

It is an arithmetic number, because the mean of its divisors is an integer number (1422666).

Almost surely, 240254240 is an apocalyptic number.

40254240 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 40254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68287968).

40254240 is an abundant number, since it is smaller than the sum of its proper divisors (96321696).

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

40254240 is a wasteful number, since it uses less digits than its factorization.

40254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 40254240 is about 6344.6229202373. The cubic root of 40254240 is about 342.7182334106.

Adding to 40254240 its reverse (4245204), we get a palindrome (44499444).

The spelling of 40254240 in words is "forty million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 6451 12902 19353 25804 32255 38706 51608 64510 77412 83863 96765 103216 129020 154824 167726 193530 206432 251589 258040 309648 335452 387060 419315 503178 516080 619296 670904 774120 838630 1006356 1032160 1257945 1341808 1548240 1677260 2012712 2515890 2683616 3096480 3354520 4025424 5031780 6709040 8050848 10063560 13418080 20127120 40254240