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1608020 = 225374153
BaseRepresentation
bin110001000100101010100
310000200210022
412020211110
5402424040
654244312
716445051
oct6104524
93020708
101608020
119a9147
12656698
13443bbb
142dc028
1521b6b5
hex188954

1608020 has 48 divisors (see below), whose sum is σ = 3619728. Its totient is φ = 599040.

The previous prime is 1608017. The next prime is 1608023. The reversal of 1608020 is 208061.

It is an interprime number because it is at equal distance from previous prime (1608017) and next prime (1608023).

It can be written as a sum of positive squares in 8 ways, for example, as 196 + 1607824 = 14^2 + 1268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1608020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30314 + ... + 30366.

It is an arithmetic number, because the mean of its divisors is an integer number (75411).

21608020 is an apocalyptic number.

1608020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1608020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809864).

1608020 is an abundant number, since it is smaller than the sum of its proper divisors (2011708).

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

1608020 is a wasteful number, since it uses less digits than its factorization.

1608020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1608020 is about 1268.0772847110. The cubic root of 1608020 is about 117.1558057696.

The spelling of 1608020 in words is "one million, six hundred eight thousand, twenty".

Divisors: 1 2 4 5 10 20 37 41 53 74 82 106 148 164 185 205 212 265 370 410 530 740 820 1060 1517 1961 2173 3034 3922 4346 6068 7585 7844 8692 9805 10865 15170 19610 21730 30340 39220 43460 80401 160802 321604 402005 804010 1608020