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1890096 = 243132233
BaseRepresentation
bin111001101011100110000
310120000201120
413031130300
5440440341
6104302240
722031325
oct7153460
93500646
101890096
11108106a
12771980
13512400
14372b4c
15275066
hex1cd730

1890096 has 60 divisors (see below), whose sum is σ = 5309928. Its totient is φ = 579072.

The previous prime is 1890089. The next prime is 1890103. The reversal of 1890096 is 6900981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1890089) and next prime (1890103).

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, 7996 + ... + 8228.

21890096 is an apocalyptic number.

1890096 is a gapful number since it is divisible by the number (16) 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 1890096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654964).

1890096 is an abundant number, since it is smaller than the sum of its proper divisors (3419832).

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

1890096 is a wasteful number, since it uses less digits than its factorization.

1890096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1890096 is about 1374.8076229058. The cubic root of 1890096 is about 123.6406523101.

The spelling of 1890096 in words is "one million, eight hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 233 312 338 466 507 624 676 699 932 1014 1352 1398 1864 2028 2704 2796 3029 3728 4056 5592 6058 8112 9087 11184 12116 18174 24232 36348 39377 48464 72696 78754 118131 145392 157508 236262 315016 472524 630032 945048 1890096