Search a number
-
+
3541960 = 235731213
BaseRepresentation
bin1101100000101111001000
320122221122201
431200233020
51401320320
6203525544
742051262
oct15405710
96587581
103541960
111aaa144
1212298b4
13970246
14682b32
1549e70a
hex360bc8

3541960 has 32 divisors (see below), whose sum is σ = 8085240. Its totient is φ = 1396224.

The previous prime is 3541957. The next prime is 3541987. The reversal of 3541960 is 691453.

It can be written as a sum of positive squares in 4 ways, for example, as 1999396 + 1542564 = 1414^2 + 1242^2 .

It is a super-3 number, since 3×35419603 (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2314 + ... + 3526.

Almost surely, 23541960 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 3541960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042620).

3541960 is an abundant number, since it is smaller than the sum of its proper divisors (4543280).

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

3541960 is a wasteful number, since it uses less digits than its factorization.

3541960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 3541960 is about 1882.0095642690. The cubic root of 3541960 is about 152.4337793650.

The spelling of 3541960 in words is "three million, five hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1213 1460 2426 2920 4852 6065 9704 12130 24260 48520 88549 177098 354196 442745 708392 885490 1770980 3541960