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40040240 = 2452347463
BaseRepresentation
bin1001100010111…
…1011100110000
32210100020212212
42120233130300
540222241430
63550111252
7664223252
oct230573460
983306785
1040040240
1120668909
12114ab528
1383abc66
145463cd2
1537adb95
hex262f730

40040240 has 80 divisors (see below), whose sum is σ = 99422208. Its totient is φ = 14961408.

The previous prime is 40040227. The next prime is 40040249. The reversal of 40040240 is 4204004.

40040240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (40040249) 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, 86249 + ... + 86711.

Almost surely, 240040240 is an apocalyptic number.

40040240 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 40040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49711104).

40040240 is an abundant number, since it is smaller than the sum of its proper divisors (59381968).

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

40040240 is a wasteful number, since it uses less digits than its factorization.

40040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 40040240 is about 6327.7357719804. The cubic root of 40040240 is about 342.1098332868.

Adding to 40040240 its reverse (4204004), we get a palindrome (44244244).

The spelling of 40040240 in words is "forty million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 463 470 752 920 926 940 1081 1840 1852 1880 2162 2315 3704 3760 4324 4630 5405 7408 8648 9260 10649 10810 17296 18520 21298 21620 21761 37040 42596 43240 43522 53245 85192 86480 87044 106490 108805 170384 174088 212980 217610 348176 425960 435220 500503 851920 870440 1001006 1740880 2002012 2502515 4004024 5005030 8008048 10010060 20020120 40040240