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201052420 = 22531332117
BaseRepresentation
bin10111111101111…
…01000100000100
3112000022112001221
423332331010010
5402432134140
631541130124
74660626442
oct1376750404
9460275057
10201052420
11a3541728
12573b9944
133286533a
141c9b7b92
15129b614a
hexbfbd104

201052420 has 24 divisors (see below), whose sum is σ = 423572184. Its totient is φ = 80161536.

The previous prime is 201052399. The next prime is 201052429. The reversal of 201052420 is 24250102.

201052420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25542916 + 175509504 = 5054^2 + 13248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201052394 and 201052403.

It is not an unprimeable number, because it can be changed into a prime (201052429) 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, 9799 + ... + 22318.

It is an arithmetic number, because the mean of its divisors is an integer number (17648841).

Almost surely, 2201052420 is an apocalyptic number.

201052420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201052420 is an abundant number, since it is smaller than the sum of its proper divisors (222519764).

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

201052420 is a wasteful number, since it uses less digits than its factorization.

201052420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32439 (or 32437 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 201052420 is about 14179.2954690986. The cubic root of 201052420 is about 585.8275185742.

The spelling of 201052420 in words is "two hundred one million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 32117 64234 128468 160585 321170 642340 10052621 20105242 40210484 50263105 100526210 201052420