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8530080 = 2535131367
BaseRepresentation
bin100000100010…
…100010100000
3121001101001220
4200202202200
54140430310
6502455040
7132335016
oct40424240
917041056
108530080
1148a6859
122a34480
1319c87b0
1411c08b6
15b37670
hex8228a0

8530080 has 96 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 2098176.

The previous prime is 8530063. The next prime is 8530099. The reversal of 8530080 is 800358.

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

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8530080.

It is a congruent number.

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, 5557 + ... + 6923.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 28530080 is an apocalyptic number.

8530080 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 8530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

8530080 is an abundant number, since it is smaller than the sum of its proper divisors (20427744).

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

8530080 is a wasteful number, since it uses less digits than its factorization.

8530080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8530080 is about 2920.6300690091. The cubic root of 8530080 is about 204.3232092954.

The spelling of 8530080 in words is "eight million, five hundred thirty thousand, eighty".

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 1367 1560 2080 2734 3120 4101 5468 6240 6835 8202 10936 13670 16404 17771 20505 21872 27340 32808 35542 41010 43744 53313 54680 65616 71084 82020 88855 106626 109360 131232 142168 164040 177710 213252 218720 266565 284336 328080 355420 426504 533130 568672 656160 710840 853008 1066260 1421680 1706016 2132520 2843360 4265040 8530080