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420201702 = 23341533581
BaseRepresentation
bin11001000010111…
…100010011100110
31002021200110101000
4121002330103212
51330032423302
6105410214130
713261440564
oct3102742346
91067613330
10420201702
111a6213838
12b8884346
136909577b
143db42a34
1526d5431c
hex190bc4e6

420201702 has 64 divisors (see below), whose sum is σ = 974877120. Its totient is φ = 134035200.

The previous prime is 420201671. The next prime is 420201703. The reversal of 420201702 is 207102024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420201703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115552 + ... + 119132.

It is an arithmetic number, because the mean of its divisors is an integer number (15232455).

Almost surely, 2420201702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420201702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487438560).

420201702 is an abundant number, since it is smaller than the sum of its proper divisors (554675418).

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

420201702 is a wasteful number, since it uses less digits than its factorization.

420201702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 420201702 is about 20498.8219661521. The cubic root of 420201702 is about 749.0071021185.

Adding to 420201702 its reverse (207102024), we get a palindrome (627303726).

It can be divided in two parts, 420201 and 702, that added together give a triangular number (420903 = T917).

The spelling of 420201702 in words is "four hundred twenty million, two hundred one thousand, seven hundred two".

Divisors: 1 2 3 6 9 18 27 41 53 54 82 106 123 159 246 318 369 477 738 954 1107 1431 2173 2214 2862 3581 4346 6519 7162 10743 13038 19557 21486 32229 39114 58671 64458 96687 117342 146821 189793 193374 293642 379586 440463 569379 880926 1138758 1321389 1708137 2642778 3416274 3964167 5124411 7781513 7928334 10248822 15563026 23344539 46689078 70033617 140067234 210100851 420201702