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420662970 = 23457132439
BaseRepresentation
bin11001000100101…
…100111010111010
31002022112220010000
4121010230322322
51330142203340
6105424133430
713265401440
oct3104547272
91068486100
10420662970
111a64a9352
12b8a67276
13691c7700
143dc22b90
1526de5d30
hex1912ceba

420662970 has 240 divisors, whose sum is σ = 1402980480. Its totient is φ = 88553088.

The previous prime is 420662959. The next prime is 420662971. The reversal of 420662970 is 79266024.

It is a happy number.

420662970 is a `hidden beast` number, since 4 + 20 + 6 + 629 + 7 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (420662971) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 958011 + ... + 958449.

It is an arithmetic number, because the mean of its divisors is an integer number (5845752).

Almost surely, 2420662970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420662970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701490240).

420662970 is an abundant number, since it is smaller than the sum of its proper divisors (982317510).

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

420662970 is a wasteful number, since it uses less digits than its factorization.

420662970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 420662970 is about 20510.0699657510. The cubic root of 420662970 is about 749.2810710751.

It can be divided in two parts, 4206 and 62970, that added together give a palindrome (67176).

The spelling of 420662970 in words is "four hundred twenty million, six hundred sixty-two thousand, nine hundred seventy".