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8120980 = 2257194371
BaseRepresentation
bin11110111110101010010100
3120021120220001
4132332222110
54034332410
6450021044
7126012220
oct36765224
916246801
108120980
11464745a
122877784
1318b451a
141115780
15aa633a
hex7bea94

8120980 has 96 divisors (see below), whose sum is σ = 21288960. Its totient is φ = 2540160.

The previous prime is 8120953. The next prime is 8121011. The reversal of 8120980 is 890218.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114345 + ... + 114415.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 28120980 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 8120980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644480).

8120980 is an abundant number, since it is smaller than the sum of its proper divisors (13167980).

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

8120980 is a wasteful number, since it uses less digits than its factorization.

8120980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 8120980 is about 2849.7333208565. The cubic root of 8120980 is about 201.0031269367.

The spelling of 8120980 in words is "eight million, one hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 43 70 71 76 86 95 133 140 142 172 190 215 266 284 301 355 380 430 497 532 602 665 710 817 860 994 1204 1330 1349 1420 1505 1634 1988 2485 2660 2698 3010 3053 3268 4085 4970 5396 5719 6020 6106 6745 8170 9443 9940 11438 12212 13490 15265 16340 18886 21371 22876 26980 28595 30530 37772 42742 47215 57190 58007 61060 85484 94430 106855 114380 116014 188860 213710 232028 290035 406049 427420 580070 812098 1160140 1624196 2030245 4060490 8120980