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420728590 = 251931611171
BaseRepresentation
bin11001000100111…
…100111100001110
31002022200020010101
4121010330330032
51330201303330
6105425401314
713266063652
oct3104747416
91068606111
10420728590
111a6543687
12b8a9923a
136921b539
143dc3ca62
1526e0a4ca
hex1913cf0e

420728590 has 64 divisors (see below), whose sum is σ = 837089280. Its totient is φ = 151632000.

The previous prime is 420728579. The next prime is 420728629. The reversal of 420728590 is 95827024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358705 + ... + 359875.

It is an arithmetic number, because the mean of its divisors is an integer number (13079520).

Almost surely, 2420728590 is an apocalyptic number.

420728590 is a deficient number, since it is larger than the sum of its proper divisors (416360690).

420728590 is a wasteful number, since it uses less digits than its factorization.

420728590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289.

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

The square root of 420728590 is about 20511.6696053734. The cubic root of 420728590 is about 749.3200296326.

The spelling of 420728590 in words is "four hundred twenty million, seven hundred twenty-eight thousand, five hundred ninety".

Divisors: 1 2 5 10 19 31 38 61 62 95 122 155 190 305 310 589 610 1159 1171 1178 1891 2318 2342 2945 3782 5795 5855 5890 9455 11590 11710 18910 22249 35929 36301 44498 71431 71858 72602 111245 142862 179645 181505 222490 357155 359290 363010 689719 714310 1357189 1379438 2214361 2714378 3448595 4428722 6785945 6897190 11071805 13571890 22143610 42072859 84145718 210364295 420728590