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1420314120 = 2332516572381
BaseRepresentation
bin101010010101000…
…0100011000001000
310122222120102200200
41110222010120020
510402100022440
6352534132200
750124320331
oct12452043010
93588512620
101420314120
11669804025
123377b1060
13198341b74
14d68bd288
1584a58c30
hex54a84608

1420314120 has 96 divisors (see below), whose sum is σ = 4620746520. Its totient is φ = 378362880.

The previous prime is 1420314107. The next prime is 1420314127. The reversal of 1420314120 is 214130241.

It can be written as a sum of positive squares in 4 ways, for example, as 501132996 + 919181124 = 22386^2 + 30318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1420314093 and 1420314102.

It is not an unprimeable number, because it can be changed into a prime (1420314127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595330 + ... + 597710.

Almost surely, 21420314120 is an apocalyptic number.

1420314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1420314120 is an abundant number, since it is smaller than the sum of its proper divisors (3200432400).

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

1420314120 is a wasteful number, since it uses less digits than its factorization.

1420314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1420314120 is about 37687.0550720005. The cubic root of 1420314120 is about 1124.0737383183.

Adding to 1420314120 its reverse (214130241), we get a palindrome (1634444361).

The spelling of 1420314120 in words is "one billion, four hundred twenty million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1657 2381 3314 4762 4971 6628 7143 8285 9524 9942 11905 13256 14286 14913 16570 19048 19884 21429 23810 24855 28572 29826 33140 35715 39768 42858 47620 49710 57144 59652 66280 71430 74565 85716 95240 99420 107145 119304 142860 149130 171432 198840 214290 285720 298260 428580 596520 857160 3945317 7890634 11835951 15781268 19726585 23671902 31562536 35507853 39453170 47343804 59179755 71015706 78906340 94687608 118359510 142031412 157812680 177539265 236719020 284062824 355078530 473438040 710157060 1420314120