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3530920 = 235412153
BaseRepresentation
bin1101011110000010101000
320122101111211
431132002220
51400442140
6203402504
742004141
oct15360250
96571454
103530920
111aa1918
121223434
13968203
1467cac8
1549b2ea
hex35e0a8

3530920 has 32 divisors (see below), whose sum is σ = 8142120. Its totient is φ = 1377280.

The previous prime is 3530909. The next prime is 3530921. The reversal of 3530920 is 290353.

It can be written as a sum of positive squares in 4 ways, for example, as 1028196 + 2502724 = 1014^2 + 1582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3530891 and 3530900.

It is not an unprimeable number, because it can be changed into a prime (3530921) 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, 564 + ... + 2716.

Almost surely, 23530920 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 3530920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071060).

3530920 is an abundant number, since it is smaller than the sum of its proper divisors (4611200).

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

3530920 is a wasteful number, since it uses less digits than its factorization.

3530920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 3530920 is about 1879.0742401513. The cubic root of 3530920 is about 152.2752399863.

The spelling of 3530920 in words is "three million, five hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2153 4306 8612 10765 17224 21530 43060 86120 88273 176546 353092 441365 706184 882730 1765460 3530920