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730086580 = 2253189101131
BaseRepresentation
bin101011100001000…
…011110010110100
31212212210020111201
4223201003302310
52443400232310
6200240142244
724043430206
oct5341036264
91785706451
10730086580
11345129943
12184607984
13b83448c2
146cd6a776
1544166e3a
hex2b843cb4

730086580 has 96 divisors (see below), whose sum is σ = 1628605440. Its totient is φ = 274560000.

The previous prime is 730086569. The next prime is 730086583. The reversal of 730086580 is 85680037.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730086583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5573115 + ... + 5573245.

It is an arithmetic number, because the mean of its divisors is an integer number (16964640).

Almost surely, 2730086580 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 730086580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814302720).

730086580 is an abundant number, since it is smaller than the sum of its proper divisors (898518860).

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

730086580 is a wasteful number, since it uses less digits than its factorization.

730086580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 730086580 is about 27020.1143594915. The cubic root of 730086580 is about 900.4469302859.

The spelling of 730086580 in words is "seven hundred thirty million, eighty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 89 101 124 131 155 178 202 262 310 356 404 445 505 524 620 655 890 1010 1310 1780 2020 2620 2759 3131 4061 5518 6262 8122 8989 11036 11659 12524 13231 13795 15655 16244 17978 20305 23318 26462 27590 31310 35956 40610 44945 46636 52924 55180 58295 62620 66155 81220 89890 116590 132310 179780 233180 264620 278659 361429 410161 557318 722858 820322 1114636 1177559 1393295 1445716 1640644 1807145 2050805 2355118 2786590 3614290 4101610 4710236 5573180 5887795 7228580 8203220 11775590 23551180 36504329 73008658 146017316 182521645 365043290 730086580