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4201002 = 2321321381
BaseRepresentation
bin10000000001101000101010
321220102200200
4100001220222
52033413002
6230013030
750464551
oct20015052
97812620
104201002
11240a303
1214a7176
13b41200
147b4d98
1557eb1c
hex401a2a

4201002 has 36 divisors (see below), whose sum is σ = 9863334. Its totient is φ = 1291680.

The previous prime is 4200991. The next prime is 4201003. The reversal of 4201002 is 2001024.

It can be written as a sum of positive squares in 3 ways, for example, as 2013561 + 2187441 = 1419^2 + 1479^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (4201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2352 + ... + 3732.

Almost surely, 24201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931667).

4201002 is an abundant number, since it is smaller than the sum of its proper divisors (5662332).

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

4201002 is a wasteful number, since it uses less digits than its factorization.

4201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4201002 is about 2049.6346015815. The cubic root of 4201002 is about 161.3556941815.

Adding to 4201002 its reverse (2001024), we get a palindrome (6202026).

The spelling of 4201002 in words is "four million, two hundred one thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1381 1521 2762 3042 4143 8286 12429 17953 24858 35906 53859 107718 161577 233389 323154 466778 700167 1400334 2100501 4201002