Search a number
-
+
8298080 = 255731239
BaseRepresentation
bin11111101001111001100000
3120121120211022
4133221321200
54111014310
6453505012
7130350440
oct37517140
916546738
108298080
11475851a
122942168
13194700b
141160120
15adda55
hex7e9e60

8298080 has 96 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 2741760.

The previous prime is 8298077. The next prime is 8298119. The reversal of 8298080 is 808928.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 8298080.

It is a congruent number.

It is an unprimeable number.

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, 34601 + ... + 34839.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 28298080 is an apocalyptic number.

8298080 is a gapful number since it is divisible by the number (80) 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 8298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

8298080 is an abundant number, since it is smaller than the sum of its proper divisors (14926240).

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

8298080 is a wasteful number, since it uses less digits than its factorization.

8298080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 8298080 is about 2880.6388180402. The cubic root of 8298080 is about 202.4537718994.

The spelling of 8298080 in words is "eight million, two hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 239 248 280 310 434 478 496 560 620 868 956 992 1085 1120 1195 1240 1673 1736 1912 2170 2390 2480 3346 3472 3824 4340 4780 4960 6692 6944 7409 7648 8365 8680 9560 13384 14818 16730 17360 19120 26768 29636 33460 34720 37045 38240 51863 53536 59272 66920 74090 103726 118544 133840 148180 207452 237088 259315 267680 296360 414904 518630 592720 829808 1037260 1185440 1659616 2074520 4149040 8298080