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420065652 = 223237320849
BaseRepresentation
bin11001000010011…
…011000101110100
31002021102112202010
4121002123011310
51330014100102
6105403244220
713260333126
oct3102330564
91067375663
10420065652
111a61305a6
12b8819670
1369048876
143db09216
1526d28d6c
hex1909b174

420065652 has 48 divisors (see below), whose sum is σ = 1036828800. Its totient is φ = 132092928.

The previous prime is 420065647. The next prime is 420065669. The reversal of 420065652 is 256560024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9724 + ... + 30572.

It is an arithmetic number, because the mean of its divisors is an integer number (21600600).

Almost surely, 2420065652 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 420065652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518414400).

420065652 is an abundant number, since it is smaller than the sum of its proper divisors (616763148).

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

420065652 is a wasteful number, since it uses less digits than its factorization.

420065652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20952 (or 20950 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 420065652 is about 20495.5032141199. The cubic root of 420065652 is about 748.9262572801.

The spelling of 420065652 in words is "four hundred twenty million, sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 876 1679 3358 5037 6716 10074 20148 20849 41698 62547 83396 125094 250188 479527 959054 1438581 1521977 1918108 2877162 3043954 4565931 5754324 6087908 9131862 18263724 35005471 70010942 105016413 140021884 210032826 420065652