Search a number
-
+
1661300 = 225237449
BaseRepresentation
bin110010101100101110100
310010101212122
412111211310
5411130200
655335112
720056304
oct6254564
93111778
101661300
11a35183
12681498
13462224
14313604
1522c385
hex195974

1661300 has 36 divisors (see below), whose sum is σ = 3710700. Its totient is φ = 645120.

The previous prime is 1661293. The next prime is 1661311. The reversal of 1661300 is 31661.

It can be written as a sum of positive squares in 6 ways, for example, as 33124 + 1628176 = 182^2 + 1276^2 .

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 11 ways as a sum of consecutive naturals, for example, 3476 + ... + 3924.

It is an arithmetic number, because the mean of its divisors is an integer number (103075).

21661300 is an apocalyptic number.

1661300 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 1661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855350).

1661300 is an abundant number, since it is smaller than the sum of its proper divisors (2049400).

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

1661300 is a wasteful number, since it uses less digits than its factorization.

1661300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1661300 is about 1288.9142717807. The cubic root of 1661300 is about 118.4357155766.

Adding to 1661300 its reverse (31661), we get a palindrome (1692961).

It can be divided in two parts, 16 and 61300, that added together give a palindrome (61316).

The spelling of 1661300 in words is "one million, six hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 449 740 898 925 1796 1850 2245 3700 4490 8980 11225 16613 22450 33226 44900 66452 83065 166130 332260 415325 830650 1661300