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8098320 = 243541823
BaseRepresentation
bin11110111001001000010000
3120020102210210
4132321020100
54033121240
6445324120
7125556156
oct36711020
916212723
108098320
11463142a
122866640
1318a7109
14110b3d6
15a9e780
hex7b9210

8098320 has 80 divisors (see below), whose sum is σ = 25748352. Its totient is φ = 2104320.

The previous prime is 8098291. The next prime is 8098367. The reversal of 8098320 is 238908.

8098320 is digitally balanced in base 5, 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 a super-3 number, since 3×80983203 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9429 + ... + 10251.

Almost surely, 28098320 is an apocalyptic number.

8098320 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 8098320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874176).

8098320 is an abundant number, since it is smaller than the sum of its proper divisors (17650032).

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

8098320 is a wasteful number, since it uses less digits than its factorization.

8098320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 8098320 is about 2845.7547329311. The cubic root of 8098320 is about 200.8159995294.

It can be divided in two parts, 80983 and 20, that added together give a triangular number (81003 = T402).

The spelling of 8098320 in words is "eight million, ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 823 984 1230 1640 1646 1968 2460 2469 3280 3292 4115 4920 4938 6584 8230 9840 9876 12345 13168 16460 19752 24690 32920 33743 39504 49380 65840 67486 98760 101229 134972 168715 197520 202458 269944 337430 404916 506145 539888 674860 809832 1012290 1349720 1619664 2024580 2699440 4049160 8098320