Search a number
-
+
1897668 = 22345857
BaseRepresentation
bin111001111010011000100
310120102010000
413033103010
5441211133
6104401300
722062363
oct7172304
93512100
101897668
111086823
12776230
135159a6
143757da
15277413
hex1cf4c4

1897668 has 30 divisors (see below), whose sum is σ = 4961726. Its totient is φ = 632448.

The previous prime is 1897667. The next prime is 1897669. The reversal of 1897668 is 8667981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1897667) and next prime (1897669).

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 26244 = 1368^2 + 162^2 .

It is a super-2 number, since 2×18976682 = 7202287676448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1897667) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2605 + ... + 3252.

21897668 is an apocalyptic number.

1897668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1897668 is an abundant number, since it is smaller than the sum of its proper divisors (3064058).

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

1897668 is a wasteful number, since it uses less digits than its factorization.

1897668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5862 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1897668 is about 1377.5587101826. The cubic root of 1897668 is about 123.8055398079.

It can be divided in two parts, 18976 and 68, that added together give a square (19044 = 1382).

The spelling of 1897668 in words is "one million, eight hundred ninety-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5857 11714 17571 23428 35142 52713 70284 105426 158139 210852 316278 474417 632556 948834 1897668