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420169806 = 232722916427
BaseRepresentation
bin11001000010110…
…100100001001110
31002021121211121200
4121002310201032
51330030413211
6105405410330
713261245600
oct3102644116
91067554550
10420169806
111a61a1881
12b88699a6
13690840b4
143db35170
1526d49b56
hex190b484e

420169806 has 72 divisors (see below), whose sum is σ = 1095583320. Its totient is φ = 115901856.

The previous prime is 420169751. The next prime is 420169811. The reversal of 420169806 is 608961024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17365 + ... + 33791.

It is an arithmetic number, because the mean of its divisors is an integer number (15216435).

Almost surely, 2420169806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420169806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547791660).

420169806 is an abundant number, since it is smaller than the sum of its proper divisors (675413514).

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

420169806 is a wasteful number, since it uses less digits than its factorization.

420169806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16478 (or 16468 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 420169806 is about 20498.0439554607. The cubic root of 420169806 is about 748.9881501604.

The spelling of 420169806 in words is "four hundred twenty million, one hundred sixty-nine thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2842 3654 4263 8526 12789 16427 25578 32854 49281 98562 114989 147843 229978 295686 344967 476383 689934 804923 952766 1034901 1429149 1609846 2069802 2414769 2858298 3334681 4287447 4829538 6669362 7244307 8574894 10004043 14488614 20008086 23342767 30012129 46685534 60024258 70028301 140056602 210084903 420169806