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4532130 = 2325371361
BaseRepresentation
bin10001010010011110100010
322112020220200
4101102132202
52130012010
6241050030
753344131
oct21223642
98466820
104532130
112616069
121626916
13c28b45
1485d918
155e7cc0
hex4527a2

4532130 has 48 divisors (see below), whose sum is σ = 12110904. Its totient is φ = 1175040.

The previous prime is 4532123. The next prime is 4532137. The reversal of 4532130 is 312354.

4532130 is a `hidden beast` number, since 4 + 532 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (4532123) and next prime (4532137).

It can be written as a sum of positive squares in 4 ways, for example, as 3790809 + 741321 = 1947^2 + 861^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4532137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2650 + ... + 4010.

Almost surely, 24532130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055452).

4532130 is an abundant number, since it is smaller than the sum of its proper divisors (7578774).

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

4532130 is a wasteful number, since it uses less digits than its factorization.

4532130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4532130 is about 2128.8799872233. The cubic root of 4532130 is about 165.4883603075.

Adding to 4532130 its reverse (312354), we get a palindrome (4844484).

It can be divided in two parts, 45 and 32130, that multiplied together give a triangular number (1445850 = T1700).

The spelling of 4532130 in words is "four million, five hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1361 1665 2722 3330 4083 6805 8166 12249 13610 20415 24498 40830 50357 61245 100714 122490 151071 251785 302142 453213 503570 755355 906426 1510710 2266065 4532130