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8130720 = 2535131303
BaseRepresentation
bin11111000001000010100000
3120022002020210
4133001002200
54040140340
6450134120
7126052503
oct37010240
916262223
108130720
114653804
122881340
1318b8aa0
14111913a
15aa9180
hex7c10a0

8130720 has 96 divisors (see below), whose sum is σ = 27603072. Its totient is φ = 1999872.

The previous prime is 8130697. The next prime is 8130721. The reversal of 8130720 is 270318.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×81307202 = 132217215436800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8130721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5589 + ... + 6891.

It is an arithmetic number, because the mean of its divisors is an integer number (287532).

Almost surely, 28130720 is an apocalyptic number.

8130720 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 8130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801536).

8130720 is an abundant number, since it is smaller than the sum of its proper divisors (19472352).

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

8130720 is a wasteful number, since it uses less digits than its factorization.

8130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 8130720 is about 2851.4417405937. The cubic root of 8130720 is about 201.0834533786.

The spelling of 8130720 in words is "eight million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1303 1560 2080 2606 3120 3909 5212 6240 6515 7818 10424 13030 15636 16939 19545 20848 26060 31272 33878 39090 41696 50817 52120 62544 67756 78180 84695 101634 104240 125088 135512 156360 169390 203268 208480 254085 271024 312720 338780 406536 508170 542048 625440 677560 813072 1016340 1355120 1626144 2032680 2710240 4065360 8130720