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470730 = 235131771
BaseRepresentation
bin1110010111011001010
3212220201110
41302323022
5110030410
614031150
74000251
oct1627312
9786643
10470730
112a1737
121a84b6
13136350
14c3798
1594720
hex72eca

470730 has 64 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 107520.

The previous prime is 470719. The next prime is 470731. The reversal of 470730 is 37074.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 470697 and 470706.

It is not an unprimeable number, because it can be changed into a prime (470731) by changing a digit.

470730 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6595 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2470730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

470730 is an abundant number, since it is smaller than the sum of its proper divisors (835638).

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

470730 is a wasteful number, since it uses less digits than its factorization.

470730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 470730 is about 686.0976606869. The cubic root of 470730 is about 77.7900335940.

The spelling of 470730 in words is "four hundred seventy thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 71 78 85 102 130 142 170 195 213 221 255 355 390 426 442 510 663 710 923 1065 1105 1207 1326 1846 2130 2210 2414 2769 3315 3621 4615 5538 6035 6630 7242 9230 12070 13845 15691 18105 27690 31382 36210 47073 78455 94146 156910 235365 470730