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423010980 = 2232571132971
BaseRepresentation
bin11001001101101…
…010001010100100
31002110222011222100
4121031222022210
51331242322410
6105550332100
713324351110
oct3115521244
91073864870
10423010980
111a7862457
12b97ba030
136983a372
1440274740
152720b8c0
hex1936a2a4

423010980 has 144 divisors (see below), whose sum is σ = 1479913344. Its totient is φ = 95800320.

The previous prime is 423010957. The next prime is 423010993. The reversal of 423010980 is 89010324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140895 + ... + 143865.

It is an arithmetic number, because the mean of its divisors is an integer number (10277176).

Almost surely, 2423010980 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 423010980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739956672).

423010980 is an abundant number, since it is smaller than the sum of its proper divisors (1056902364).

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

423010980 is a wasteful number, since it uses less digits than its factorization.

423010980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 423010980 is about 20567.2307324054. The cubic root of 423010980 is about 750.6725700191.

The spelling of 423010980 in words is "four hundred twenty-three million, ten thousand, nine 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 90 105 113 126 140 180 210 226 252 315 339 420 452 565 630 678 791 1017 1130 1260 1356 1582 1695 2034 2260 2373 2971 3164 3390 3955 4068 4746 5085 5942 6780 7119 7910 8913 9492 10170 11865 11884 14238 14855 15820 17826 20340 20797 23730 26739 28476 29710 35595 35652 41594 44565 47460 53478 59420 62391 71190 83188 89130 103985 106956 124782 133695 142380 178260 187173 207970 249564 267390 311955 335723 374346 415940 534780 623910 671446 748692 935865 1007169 1247820 1342892 1678615 1871730 2014338 2350061 3021507 3357230 3743460 4028676 4700122 5035845 6043014 6714460 7050183 9400244 10071690 11750305 12086028 14100366 15107535 20143380 21150549 23500610 28200732 30215070 35250915 42301098 47001220 60430140 70501830 84602196 105752745 141003660 211505490 423010980