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420427956 = 223132695051
BaseRepresentation
bin11001000011110…
…011100010110100
31002022002221201210
4121003303202310
51330112143311
6105415121420
713263402324
oct3103634264
91068087653
10420427956
111a6358823
12b8973270
1369144750
143dba1284
1526d9b3a6
hex190f38b4

420427956 has 24 divisors (see below), whose sum is σ = 1056460384. Its totient is φ = 129362400.

The previous prime is 420427939. The next prime is 420427957. The reversal of 420427956 is 659724024.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420427957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347370 + ... + 1347681.

Almost surely, 2420427956 is an apocalyptic number.

It is an amenable number.

420427956 is an abundant number, since it is smaller than the sum of its proper divisors (636032428).

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

420427956 is a wasteful number, since it uses less digits than its factorization.

420427956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695071 (or 2695069 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 420427956 is about 20504.3399308537. The cubic root of 420427956 is about 749.1415101463.

The spelling of 420427956 in words is "four hundred twenty million, four hundred twenty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2695051 5390102 8085153 10780204 16170306 32340612 35035663 70071326 105106989 140142652 210213978 420427956