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8240040 = 2332547487
BaseRepresentation
bin11111011011101110101000
3120111122012200
4133123232220
54102140130
6452340200
7130016304
oct37335650
916448180
108240040
114718956
122914660
131926783
141146d04
15acb760
hex7dbba8

8240040 has 96 divisors (see below), whose sum is σ = 27406080. Its totient is φ = 2146176.

The previous prime is 8240033. The next prime is 8240041. The reversal of 8240040 is 400428.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8239995 and 8240022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8240041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16677 + ... + 17163.

It is an arithmetic number, because the mean of its divisors is an integer number (285480).

Almost surely, 28240040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703040).

8240040 is an abundant number, since it is smaller than the sum of its proper divisors (19166040).

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

8240040 is a wasteful number, since it uses less digits than its factorization.

8240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8240040 is about 2870.5469862032. The cubic root of 8240040 is about 201.9806536385.

Adding to 8240040 its reverse (400428), we get a palindrome (8640468).

The spelling of 8240040 in words is "eight million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 487 564 705 846 940 974 1128 1410 1461 1692 1880 1948 2115 2435 2820 2922 3384 3896 4230 4383 4870 5640 5844 7305 8460 8766 9740 11688 14610 16920 17532 19480 21915 22889 29220 35064 43830 45778 58440 68667 87660 91556 114445 137334 175320 183112 206001 228890 274668 343335 412002 457780 549336 686670 824004 915560 1030005 1373340 1648008 2060010 2746680 4120020 8240040