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420068436 = 223172592053
BaseRepresentation
bin11001000010011…
…011110001010100
31002021102200120020
4121002123301110
51330014142221
6105403305140
713260344214
oct3102336124
91067380506
10420068436
111a61326a7
12b881b1b0
1369049c08
143db0a244
1526d29ac6
hex1909bc54

420068436 has 72 divisors (see below), whose sum is σ = 1059371040. Its totient is φ = 129489408.

The previous prime is 420068431. The next prime is 420068443. The reversal of 420068436 is 634860024.

It is a junction number, because it is equal to n+sod(n) for n = 420068397 and 420068406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420068431) 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 23 ways as a sum of consecutive naturals, for example, 203586 + ... + 205638.

Almost surely, 2420068436 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 420068436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529685520).

420068436 is an abundant number, since it is smaller than the sum of its proper divisors (639302604).

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

420068436 is a wasteful number, since it uses less digits than its factorization.

420068436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 420068436 is about 20495.5711313444. The cubic root of 420068436 is about 748.9279117883.

The spelling of 420068436 in words is "four hundred twenty million, sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 289 354 578 708 867 1003 1156 1734 2006 2053 3009 3468 4012 4106 6018 6159 8212 12036 12318 17051 24636 34102 34901 51153 68204 69802 102306 104703 121127 139604 204612 209406 242254 363381 418812 484508 593317 726762 1186634 1453524 1779951 2059159 2373268 3559902 4118318 6177477 7119804 8236636 12354954 24709908 35005703 70011406 105017109 140022812 210034218 420068436