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471130380 = 2232571672239
BaseRepresentation
bin11100000101001…
…110000100001100
31012211111220101100
4130011032010030
51431102133010
6114425543100
714450353650
oct3405160414
91184456340
10471130380
11221a39256
12111944a90
13767b7796
14467dca60
152b5642c0
hex1c14e10c

471130380 has 144 divisors (see below), whose sum is σ = 1643765760. Its totient is φ = 106994304.

The previous prime is 471130379. The next prime is 471130411. The reversal of 471130380 is 83031174.

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 209301 + ... + 211539.

It is an arithmetic number, because the mean of its divisors is an integer number (11415040).

Almost surely, 2471130380 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 471130380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821882880).

471130380 is an abundant number, since it is smaller than the sum of its proper divisors (1172635380).

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

471130380 is a wasteful number, since it uses less digits than its factorization.

471130380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 471130380 is about 21705.5380030074. The cubic root of 471130380 is about 778.1208214804.

The spelling of 471130380 in words is "four hundred seventy-one million, one hundred thirty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 167 180 210 252 315 334 420 501 630 668 835 1002 1169 1260 1503 1670 2004 2239 2338 2505 3006 3340 3507 4478 4676 5010 5845 6012 6717 7014 7515 8956 10020 10521 11195 11690 13434 14028 15030 15673 17535 20151 21042 22390 23380 26868 30060 31346 33585 35070 40302 42084 44780 47019 52605 62692 67170 70140 78365 80604 94038 100755 105210 134340 141057 156730 188076 201510 210420 235095 282114 313460 373913 403020 470190 564228 705285 747826 940380 1121739 1410570 1495652 1869565 2243478 2617391 2821140 3365217 3739130 4486956 5234782 5608695 6730434 7478260 7852173 10469564 11217390 13086955 13460868 15704346 16826085 22434780 23556519 26173910 31408692 33652170 39260865 47113038 52347820 67304340 78521730 94226076 117782595 157043460 235565190 471130380