Search a number
-
+
4200132 = 223834217
BaseRepresentation
bin10000000001011011000100
321220101111110
4100001123010
52033401012
6230005020
750462166
oct20013304
97811443
104200132
112409692
1214a6770
13b409b1
147b4936
1557e73c
hex4016c4

4200132 has 24 divisors (see below), whose sum is σ = 9920736. Its totient is φ = 1382848.

The previous prime is 4200127. The next prime is 4200137. The reversal of 4200132 is 2310024.

It is an interprime number because it is at equal distance from previous prime (4200127) and next prime (4200137).

It is a super-2 number, since 2×42001322 = 35282217634848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4200137) 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 7 ways as a sum of consecutive naturals, for example, 1113 + ... + 3104.

It is an arithmetic number, because the mean of its divisors is an integer number (413364).

Almost surely, 24200132 is an apocalyptic number.

It is an amenable number.

4200132 is an abundant number, since it is smaller than the sum of its proper divisors (5720604).

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

4200132 is a wasteful number, since it uses less digits than its factorization.

4200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4200132 is about 2049.4223576413. The cubic root of 4200132 is about 161.3445548433.

Adding to 4200132 its reverse (2310024), we get a palindrome (6510156).

The spelling of 4200132 in words is "four million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 4217 8434 12651 16868 25302 50604 350011 700022 1050033 1400044 2100066 4200132