Search a number
-
+
1890252 = 2232713577
BaseRepresentation
bin111001101011111001100
310120000221100
413031133030
5440442002
6104303100
722031640
oct7153714
93500840
101890252
1110811a1
12771a90
135124c0
14372c20
1527511c
hex1cd7cc

1890252 has 72 divisors (see below), whose sum is σ = 5890976. Its totient is φ = 497664.

The previous prime is 1890241. The next prime is 1890257. The reversal of 1890252 is 2520981.

It is not an unprimeable number, because it can be changed into a prime (1890257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2988 + ... + 3564.

21890252 is an apocalyptic number.

1890252 is a gapful number since it is divisible by the number (12) 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 1890252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945488).

1890252 is an abundant number, since it is smaller than the sum of its proper divisors (4000724).

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

1890252 is a wasteful number, since it uses less digits than its factorization.

1890252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1890252 is about 1374.8643569458. The cubic root of 1890252 is about 123.6440537971.

The spelling of 1890252 in words is "one million, eight hundred ninety thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 577 819 1092 1154 1638 1731 2308 3276 3462 4039 5193 6924 7501 8078 10386 12117 15002 16156 20772 22503 24234 30004 36351 45006 48468 52507 67509 72702 90012 105014 135018 145404 157521 210028 270036 315042 472563 630084 945126 1890252