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7076080 = 2451121743
BaseRepresentation
bin11010111111100011110000
3111022111120001
4122333203300
53302413310
6411355344
7114100654
oct32774360
914274501
107076080
113aa3400
122452b54
131609a3b
14d22a64
1594b93a
hex6bf8f0

7076080 has 120 divisors (see below), whose sum is σ = 19592496. Its totient is φ = 2365440.

The previous prime is 7076077. The next prime is 7076089. The reversal of 7076080 is 806707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7076089) 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, 164539 + ... + 164581.

Almost surely, 27076080 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 7076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9796248).

7076080 is an abundant number, since it is smaller than the sum of its proper divisors (12516416).

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

7076080 is a wasteful number, since it uses less digits than its factorization.

7076080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 7076080 is about 2660.0902240338. The cubic root of 7076080 is about 191.9836502281.

The spelling of 7076080 in words is "seven million, seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 43 44 55 68 80 85 86 88 110 121 136 170 172 176 187 215 220 242 272 340 344 374 430 440 473 484 605 680 688 731 748 860 880 935 946 968 1210 1360 1462 1496 1720 1870 1892 1936 2057 2365 2420 2924 2992 3440 3655 3740 3784 4114 4730 4840 5203 5848 7310 7480 7568 8041 8228 9460 9680 10285 10406 11696 14620 14960 16082 16456 18920 20570 20812 26015 29240 32164 32912 37840 40205 41140 41624 52030 58480 64328 80410 82280 83248 88451 104060 128656 160820 164560 176902 208120 321640 353804 416240 442255 643280 707608 884510 1415216 1769020 3538040 7076080