Search a number
-
+
8028680 = 2351171257
BaseRepresentation
bin11110101000001000001000
3120002220021112
4132220020020
54023404210
6444025452
7125146142
oct36501010
916086245
108028680
114594080
122832288
1318814ca
1410cdc92
15a88d05
hex7a8208

8028680 has 64 divisors (see below), whose sum is σ = 20062080. Its totient is φ = 2867200.

The previous prime is 8028653. The next prime is 8028703. The reversal of 8028680 is 868208.

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, 31112 + ... + 31368.

It is an arithmetic number, because the mean of its divisors is an integer number (313470).

Almost surely, 28028680 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 8028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031040).

8028680 is an abundant number, since it is smaller than the sum of its proper divisors (12033400).

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

8028680 is a wasteful number, since it uses less digits than its factorization.

8028680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 8028680 is about 2833.4925445464. The cubic root of 8028680 is about 200.2387149625.

The spelling of 8028680 in words is "eight million, twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 257 284 355 440 514 568 710 781 1028 1285 1420 1562 2056 2570 2827 2840 3124 3905 5140 5654 6248 7810 10280 11308 14135 15620 18247 22616 28270 31240 36494 56540 72988 91235 113080 145976 182470 200717 364940 401434 729880 802868 1003585 1605736 2007170 4014340 8028680