Search a number
-
+
3002132 = 227217253
BaseRepresentation
bin1011011100111100010100
312122112011002
423130330110
51232032012
6144202432
734342400
oct13347424
95575132
103002132
111770601
121009418
13811613
14582100
153e47c2
hex2dcf14

3002132 has 54 divisors (see below), whose sum is σ = 6614622. Its totient is φ = 1188096.

The previous prime is 3002123. The next prime is 3002147. The reversal of 3002132 is 2312003.

It can be written as a sum of positive squares in 3 ways, for example, as 1552516 + 1449616 = 1246^2 + 1204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56618 + ... + 56670.

It is an arithmetic number, because the mean of its divisors is an integer number (122493).

Almost surely, 23002132 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 3002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307311).

3002132 is an abundant number, since it is smaller than the sum of its proper divisors (3612490).

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

3002132 is a wasteful number, since it uses less digits than its factorization.

3002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3002132 is about 1732.6661536488. Note that the first 3 decimals coincide. The cubic root of 3002132 is about 144.2591142304.

Adding to 3002132 its reverse (2312003), we get a palindrome (5314135).

The spelling of 3002132 in words is "three million, two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 196 212 238 289 371 476 578 742 833 901 1156 1484 1666 1802 2023 2597 3332 3604 4046 5194 6307 8092 10388 12614 14161 15317 25228 28322 30634 44149 56644 61268 88298 107219 176596 214438 428876 750533 1501066 3002132