Search a number
-
+
5595040 = 255112172
BaseRepresentation
bin10101010101111110100000
3101112020221201
4111111332200
52413020130
6315530544
765362033
oct25257640
911466851
105595040
113181700
121a59a54
13120b899
14a5901a
15757bca
hex555fa0

5595040 has 108 divisors (see below), whose sum is σ = 15434118. Its totient is φ = 1914880.

The previous prime is 5594959. The next prime is 5595043. The reversal of 5595040 is 405955.

It can be written as a sum of positive squares in 3 ways, for example, as 5438224 + 156816 = 2332^2 + 396^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5595043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 329112 + ... + 329128.

Almost surely, 25595040 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 5595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717059).

5595040 is an abundant number, since it is smaller than the sum of its proper divisors (9839078).

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

5595040 is a wasteful number, since it uses less digits than its factorization.

5595040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 5595040 is about 2365.3836898059. The cubic root of 5595040 is about 177.5283562447.

The spelling of 5595040 in words is "five million, five hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 121 136 160 170 176 187 220 242 272 289 340 352 374 440 484 544 578 605 680 748 880 935 968 1156 1210 1360 1445 1496 1760 1870 1936 2057 2312 2420 2720 2890 2992 3179 3740 3872 4114 4624 4840 5780 5984 6358 7480 8228 9248 9680 10285 11560 12716 14960 15895 16456 19360 20570 23120 25432 29920 31790 32912 34969 41140 46240 50864 63580 65824 69938 82280 101728 127160 139876 164560 174845 254320 279752 329120 349690 508640 559504 699380 1119008 1398760 2797520 5595040