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8132280 = 2335132401
BaseRepresentation
bin11111000001011010111000
3120022011101120
4133001122320
54040213110
6450145240
7126060162
oct37013270
916264346
108132280
1146549a2
122882220
1318b9700
141119932
15aa9870
hex7c16b8

8132280 has 96 divisors (see below), whose sum is σ = 26483760. Its totient is φ = 1996800.

The previous prime is 8132221. The next prime is 8132281. The reversal of 8132280 is 822318.

8132280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×81322802 = 132267955996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8132280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132281) 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, 20080 + ... + 20480.

Almost surely, 28132280 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 8132280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241880).

8132280 is an abundant number, since it is smaller than the sum of its proper divisors (18351480).

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

8132280 is a wasteful number, since it uses less digits than its factorization.

8132280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8132280 is about 2851.7152733048. The cubic root of 8132280 is about 201.0963128436.

Adding to 8132280 its reverse (822318), we get a palindrome (8954598).

The spelling of 8132280 in words is "eight million, one hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 401 507 520 676 780 802 845 1014 1203 1352 1560 1604 1690 2005 2028 2406 2535 3208 3380 4010 4056 4812 5070 5213 6015 6760 8020 9624 10140 10426 12030 15639 16040 20280 20852 24060 26065 31278 41704 48120 52130 62556 67769 78195 104260 125112 135538 156390 203307 208520 271076 312780 338845 406614 542152 625560 677690 813228 1016535 1355380 1626456 2033070 2710760 4066140 8132280