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1890828 = 223253991
BaseRepresentation
bin111001101101000001100
310120001201200
413031220030
5441001303
6104305500
722033422
oct7155014
93501650
101890828
111081675
12772290
13512844
14373112
152753a3
hex1cda0c

1890828 has 36 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 617760.

The previous prime is 1890827. The next prime is 1890851. The reversal of 1890828 is 8280981.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1890792 and 1890801.

It is not an unprimeable number, because it can be changed into a prime (1890827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413 + ... + 2403.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

21890828 is an apocalyptic number.

1890828 is a gapful number since it is divisible by the number (18) 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 1890828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1890828 is an abundant number, since it is smaller than the sum of its proper divisors (2983860).

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

1890828 is a wasteful number, since it uses less digits than its factorization.

1890828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1890828 is about 1375.0738162004. The cubic root of 1890828 is about 123.6566115129.

The spelling of 1890828 in words is "one million, eight hundred ninety thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 991 1908 1982 2973 3964 5946 8919 11892 17838 35676 52523 105046 157569 210092 315138 472707 630276 945414 1890828