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1580428980 = 22325133121787
BaseRepresentation
bin101111000110011…
…0110111010110100
311002010212002222200
41132030312322310
511214042211410
6420454024500
754110265444
oct13614667264
94063762880
101580428980
11741124759
12381348130
131c25729a0
1410dc7c124
1593b353c0
hex5e336eb4

1580428980 has 144 divisors (see below), whose sum is σ = 5329519104. Its totient is φ = 376462080.

The previous prime is 1580428963. The next prime is 1580428991. The reversal of 1580428980 is 898240851.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61647 + ... + 83433.

Almost surely, 21580428980 is an apocalyptic number.

1580428980 is a gapful number since it is divisible by the number (10) 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 1580428980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664759552).

1580428980 is an abundant number, since it is smaller than the sum of its proper divisors (3749090124).

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

1580428980 is a wasteful number, since it uses less digits than its factorization.

1580428980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21846 (or 21841 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1580428980 is about 39754.6095440516. The cubic root of 1580428980 is about 1164.8186839829.

The spelling of 1580428980 in words is "one billion, five hundred eighty million, four hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 18135 21787 24180 36270 43574 65361 72540 87148 108935 130722 196083 217870 261444 283231 326805 392166 435740 566462 653610 675397 784332 849693 980415 1132924 1307220 1350794 1416155 1699386 1960830 2026191 2549079 2701588 2832310 3376985 3398772 3921660 4052382 4248465 5098158 5664620 6078573 6753970 8104764 8496930 8780161 10130955 10196316 12157146 12745395 13507940 16993860 17560322 20261910 24314292 25490790 26340483 30392865 35120644 40523820 43900805 50981580 52680966 60785730 79021449 87801610 105361932 121571460 131702415 158042898 175603220 263404830 316085796 395107245 526809660 790214490 1580428980