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580973130 = 232517379721
BaseRepresentation
bin100010101000001…
…111001001001010
31111111012111022100
4202220033021022
52142212120010
6133352134230
720253122133
oct4250171112
91444174270
10580973130
11278a42791
12142697376
13934963aa
1457232c8a
15360102c0
hex22a0f24a

580973130 has 48 divisors (see below), whose sum is σ = 1599389064. Its totient is φ = 145812480.

The previous prime is 580973117. The next prime is 580973143. The reversal of 580973130 is 31379085.

580973130 is a `hidden beast` number, since 580 + 9 + 73 + 1 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (580973117) and next prime (580973143).

It can be written as a sum of positive squares in 4 ways, for example, as 579316761 + 1656369 = 24069^2 + 1287^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188331 + ... + 191390.

Almost surely, 2580973130 is an apocalyptic number.

580973130 is an abundant number, since it is smaller than the sum of its proper divisors (1018415934).

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

580973130 is a wasteful number, since it uses less digits than its factorization.

580973130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379751 (or 379748 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 580973130 is about 24103.3842022236. The cubic root of 580973130 is about 834.4212370960.

It can be divided in two parts, 580 and 973130, that added together give a triangular number (973710 = T1395).

The spelling of 580973130 in words is "five hundred eighty million, nine hundred seventy-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 379721 759442 1139163 1898605 2278326 3417489 3797210 5695815 6455257 6834978 11391630 12910514 17087445 19365771 32276285 34174890 38731542 58097313 64552570 96828855 116194626 193657710 290486565 580973130