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5601040 = 245531321
BaseRepresentation
bin10101010111011100010000
3101112120011221
4111113130100
52413213130
6320014424
765415364
oct25273420
911476157
105601040
113186165
121a61414
131211533
14a5b2a4
1575987a
hex557710

5601040 has 40 divisors (see below), whose sum is σ = 13278168. Its totient is φ = 2196480.

The previous prime is 5601017. The next prime is 5601061. The reversal of 5601040 is 401065.

It can be written as a sum of positive squares in 4 ways, for example, as 2274064 + 3326976 = 1508^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3580 + ... + 4900.

Almost surely, 25601040 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 5601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639084).

5601040 is an abundant number, since it is smaller than the sum of its proper divisors (7677128).

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

5601040 is a wasteful number, since it uses less digits than its factorization.

5601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5601040 is about 2366.6516431448. The cubic root of 5601040 is about 177.5917927652.

It can be divided in two parts, 560 and 1040, that added together give a square (1600 = 402).

The spelling of 5601040 in words is "five million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 1321 2120 2642 4240 5284 6605 10568 13210 21136 26420 52840 70013 105680 140026 280052 350065 560104 700130 1120208 1400260 2800520 5601040