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420201474 = 237112979397
BaseRepresentation
bin11001000010111…
…100010000000010
31002021200110001120
4121002330100002
51330032421344
6105410213110
713261440120
oct3102742002
91067613046
10420201474
111a6213650
12b8884196
1369095634
143db42910
1526d54219
hex190bc402

420201474 has 128 divisors (see below), whose sum is σ = 1100390400. Its totient is φ = 103783680.

The previous prime is 420201443. The next prime is 420201487. The reversal of 420201474 is 474102024.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1058244 + ... + 1058640.

It is an arithmetic number, because the mean of its divisors is an integer number (8596800).

Almost surely, 2420201474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420201474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550195200).

420201474 is an abundant number, since it is smaller than the sum of its proper divisors (680188926).

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

420201474 is a wasteful number, since it uses less digits than its factorization.

420201474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 420201474 is about 20498.8164048562. The cubic root of 420201474 is about 749.0069666489.

Adding to 420201474 its reverse (474102024), we get a palindrome (894303498).

The spelling of 420201474 in words is "four hundred twenty million, two hundred one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 79 87 154 158 174 203 231 237 319 397 406 462 474 553 609 638 794 869 957 1106 1191 1218 1659 1738 1914 2233 2291 2382 2607 2779 3318 4367 4466 4582 5214 5558 6083 6699 6873 8337 8734 11513 12166 13101 13398 13746 16037 16674 18249 23026 25201 26202 30569 31363 32074 34539 36498 48111 50402 61138 62726 69078 75603 80591 91707 94089 96222 126643 151206 161182 176407 183414 188178 219541 241773 253286 344993 352814 379929 439082 483546 529221 658623 689986 759858 886501 909527 1034979 1058442 1317246 1773002 1819054 2069958 2414951 2659503 2728581 4829902 5319006 5457162 6366689 7244853 10004797 12733378 14489706 19100067 20009594 30014391 38200134 60028782 70033579 140067158 210100737 420201474