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20720420 = 225747267
BaseRepresentation
bin100111100001…
…0101100100100
31102222201001222
41033002230210
520301023140
62020035512
7341056250
oct117025444
942881058
1020720420
1110772616
126b32b98
1343a6306
142a75260
151c445b5
hex13c2b24

20720420 has 72 divisors (see below), whose sum is σ = 51567936. Its totient is φ = 6849216.

The previous prime is 20720417. The next prime is 20720423. The reversal of 20720420 is 2402702.

It is an interprime number because it is at equal distance from previous prime (20720417) and next prime (20720423).

It is not an unprimeable number, because it can be changed into a prime (20720423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309227 + ... + 309293.

Almost surely, 220720420 is an apocalyptic number.

20720420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20720420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25783968).

20720420 is an abundant number, since it is smaller than the sum of its proper divisors (30847516).

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

20720420 is a wasteful number, since it uses less digits than its factorization.

20720420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 20720420 is about 4551.9688048140. The cubic root of 20720420 is about 274.6625944610.

The spelling of 20720420 in words is "twenty million, seven hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 67 70 94 134 140 188 235 268 329 335 469 470 658 670 938 940 1316 1340 1645 1876 2209 2345 3149 3290 4418 4690 6298 6580 8836 9380 11045 12596 15463 15745 22043 22090 30926 31490 44086 44180 61852 62980 77315 88172 110215 148003 154630 220430 296006 309260 440860 592012 740015 1036021 1480030 2072042 2960060 4144084 5180105 10360210 20720420