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420499380 = 223572157911
BaseRepresentation
bin11001000100000…
…100111110110100
31002022020120201010
4121010010332310
51330121440010
6105420432220
713264120500
oct3104047664
91068216633
10420499380
111a63a7454
12b89a8670
136916b102
143dbbd300
1526db2620
hex19104fb4

420499380 has 144 divisors (see below), whose sum is σ = 1379863296. Its totient is φ = 95397120.

The previous prime is 420499379. The next prime is 420499411. The reversal of 420499380 is 83994024.

It is a congruent number.

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, 461125 + ... + 462035.

It is an arithmetic number, because the mean of its divisors is an integer number (9582384).

Almost surely, 2420499380 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 420499380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689931648).

420499380 is an abundant number, since it is smaller than the sum of its proper divisors (959363916).

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

420499380 is a wasteful number, since it uses less digits than its factorization.

420499380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 420499380 is about 20506.0815369490. The cubic root of 420499380 is about 749.1839301398.

The spelling of 420499380 in words is "four hundred twenty million, four hundred ninety-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 157 196 210 245 294 314 420 471 490 588 628 735 785 911 942 980 1099 1470 1570 1822 1884 2198 2355 2733 2940 3140 3297 3644 4396 4555 4710 5466 5495 6377 6594 7693 9110 9420 10932 10990 12754 13188 13665 15386 16485 18220 19131 21980 23079 25508 27330 30772 31885 32970 38262 38465 44639 46158 54660 63770 65940 76524 76930 89278 92316 95655 115395 127540 133917 143027 153860 178556 191310 223195 230790 267834 286054 382620 429081 446390 461580 535668 572108 669585 715135 858162 892780 1001189 1339170 1430270 1716324 2002378 2145405 2678340 2860540 3003567 4004756 4290810 5005945 6007134 7008323 8581620 10011890 12014268 14016646 15017835 20023780 21024969 28033292 30035670 35041615 42049938 60071340 70083230 84099876 105124845 140166460 210249690 420499380