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420670756 = 221167142697
BaseRepresentation
bin11001000100101…
…110110100100100
31002022120021210101
4121010232310210
51330142431011
6105424233444
713265433232
oct3104566444
91068507711
10420670756
111a6504190
12b8a6b884
13691cb10c
143dc25952
1526de82c1
hex1912ed24

420670756 has 24 divisors (see below), whose sum is σ = 815090976. Its totient is φ = 188358720.

The previous prime is 420670753. The next prime is 420670771. The reversal of 420670756 is 657076024.

It is a super-3 number, since 3×4206707563 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (420670753) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68401 + ... + 74296.

It is an arithmetic number, because the mean of its divisors is an integer number (33962124).

Almost surely, 2420670756 is an apocalyptic number.

It is an amenable number.

420670756 is a deficient number, since it is larger than the sum of its proper divisors (394420220).

420670756 is a wasteful number, since it uses less digits than its factorization.

420670756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142779 (or 142777 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 420670756 is about 20510.2597740740. The cubic root of 420670756 is about 749.2856938308.

It can be divided in two parts, 420 and 670756, that added together give a palindrome (671176).

The spelling of 420670756 in words is "four hundred twenty million, six hundred seventy thousand, seven hundred fifty-six".

Divisors: 1 2 4 11 22 44 67 134 268 737 1474 2948 142697 285394 570788 1569667 3139334 6278668 9560699 19121398 38242796 105167689 210335378 420670756