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7995240 = 2333511673
BaseRepresentation
bin11110011111111101101000
3120001012102000
4132133331220
54021321430
6443211000
7124646511
oct36377550
916035360
107995240
114570a40
122816a60
13186c216
1410c1a08
15a7de60
hex79ff68

7995240 has 128 divisors (see below), whose sum is σ = 29116800. Its totient is φ = 1935360.

The previous prime is 7995233. The next prime is 7995263. The reversal of 7995240 is 425997.

7995240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 78 + 94 + 94 + 59 + 211 + 49 + 0 .

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 7995195 and 7995204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11544 + ... + 12216.

It is an arithmetic number, because the mean of its divisors is an integer number (227475).

Almost surely, 27995240 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 7995240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558400).

7995240 is an abundant number, since it is smaller than the sum of its proper divisors (21121560).

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

7995240 is a wasteful number, since it uses less digits than its factorization.

7995240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 7995240 is about 2827.5855424726. The cubic root of 7995240 is about 199.9603254635.

The spelling of 7995240 in words is "seven million, nine hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 673 792 990 1080 1188 1320 1346 1485 1980 2019 2376 2692 2970 3365 3960 4038 5384 5940 6057 6730 7403 8076 10095 11880 12114 13460 14806 16152 18171 20190 22209 24228 26920 29612 30285 36342 37015 40380 44418 48456 59224 60570 66627 72684 74030 80760 88836 90855 111045 121140 133254 145368 148060 177672 181710 199881 222090 242280 266508 296120 333135 363420 399762 444180 533016 666270 726840 799524 888360 999405 1332540 1599048 1998810 2665080 3997620 7995240