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420208536 = 233114433593
BaseRepresentation
bin11001000010111…
…101111110011000
31002021200210202010
4121002331332120
51330033133121
6105410305520
713261466526
oct3102757630
91067623663
10420208536
111a6218990
12b88882a0
1369098907
143db45316
1526d56376
hex190bdf98

420208536 has 64 divisors (see below), whose sum is σ = 1148929920. Its totient is φ = 127013120.

The previous prime is 420208531. The next prime is 420208571. The reversal of 420208536 is 635802024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420208531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115156 + ... + 118748.

It is an arithmetic number, because the mean of its divisors is an integer number (17952030).

Almost surely, 2420208536 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 420208536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574464960).

420208536 is an abundant number, since it is smaller than the sum of its proper divisors (728721384).

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

420208536 is a wasteful number, since it uses less digits than its factorization.

420208536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 420208536 is about 20498.9886579802. The cubic root of 420208536 is about 749.0111626183.

The spelling of 420208536 in words is "four hundred twenty million, two hundred eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 443 886 1329 1772 2658 3544 3593 4873 5316 7186 9746 10632 10779 14372 14619 19492 21558 28744 29238 38984 39523 43116 58476 79046 86232 116952 118569 158092 237138 316184 474276 948552 1591699 3183398 4775097 6366796 9550194 12733592 17508689 19100388 35017378 38200776 52526067 70034756 105052134 140069512 210104268 420208536