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420420140 = 225731731327
BaseRepresentation
bin11001000011110…
…001101000101100
31002022002120000022
4121003301220230
51330111421030
6105415021312
713263340460
oct3103615054
91068076008
10420420140
111a6352968
12b896a838
136914101a
143db9c4a0
1526d98de5
hex190f1a2c

420420140 has 96 divisors (see below), whose sum is σ = 1056620544. Its totient is φ = 137479680.

The previous prime is 420420137. The next prime is 420420157. The reversal of 420420140 is 41024024.

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 31 ways as a sum of consecutive naturals, for example, 316157 + ... + 317483.

It is an arithmetic number, because the mean of its divisors is an integer number (11006464).

Almost surely, 2420420140 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 420420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528310272).

420420140 is an abundant number, since it is smaller than the sum of its proper divisors (636200404).

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

420420140 is a wasteful number, since it uses less digits than its factorization.

420420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 420420140 is about 20504.1493361710. The cubic root of 420420140 is about 749.1368677922.

Adding to 420420140 its reverse (41024024), we get a palindrome (461444164).

The spelling of 420420140 in words is "four hundred twenty million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 73 124 140 146 155 217 292 310 365 434 511 620 730 868 1022 1085 1327 1460 2044 2170 2263 2555 2654 4340 4526 5110 5308 6635 9052 9289 10220 11315 13270 15841 18578 22630 26540 31682 37156 41137 45260 46445 63364 79205 82274 92890 96871 158410 164548 185780 193742 205685 287959 316820 387484 411370 484355 575918 678097 822740 968710 1151836 1356194 1439795 1937420 2712388 2879590 3003001 3390485 5759180 6006002 6780970 12012004 13561940 15015005 21021007 30030010 42042014 60060020 84084028 105105035 210210070 420420140