Search a number
-
+
5601060 = 2232529237
BaseRepresentation
bin10101010111011100100100
3101112120012200
4111113130210
52413213220
6320014500
765415423
oct25273444
911476180
105601060
113186183
121a61430
13121154a
14a5b2ba
15759890
hex557724

5601060 has 108 divisors (see below), whose sum is σ = 18071508. Its totient is φ = 1403136.

The previous prime is 5601017. The next prime is 5601061. The reversal of 5601060 is 601065.

5601060 is a `hidden beast` number, since 5 + 601 + 0 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 181476 + 5419584 = 426^2 + 2328^2 .

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 (5601061) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151362 + ... + 151398.

Almost surely, 25601060 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 5601060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035754).

5601060 is an abundant number, since it is smaller than the sum of its proper divisors (12470448).

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

5601060 is a wasteful number, since it uses less digits than its factorization.

5601060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5601060 is about 2366.6558685200. The cubic root of 5601060 is about 177.5920041445.

Multiplying 5601060 by its reverse (601065), we get a square (3366601128900 = 18348302).

The spelling of 5601060 in words is "five million, six hundred one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 37 45 58 60 74 87 90 111 116 145 148 174 180 185 222 261 290 333 348 370 435 444 522 555 580 666 740 841 870 1044 1073 1110 1305 1332 1665 1682 1740 2146 2220 2523 2610 3219 3330 3364 4205 4292 5046 5220 5365 6438 6660 7569 8410 9657 10092 10730 12615 12876 15138 16095 16820 19314 21460 25230 30276 31117 32190 37845 38628 48285 50460 62234 64380 75690 93351 96570 124468 151380 155585 186702 193140 280053 311170 373404 466755 560106 622340 933510 1120212 1400265 1867020 2800530 5601060