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2148992 = 27103163
BaseRepresentation
bin1000001100101010000000
311001011212022
420030222000
51022231432
6114021012
724160166
oct10145200
94034768
102148992
11123862a
12877768
135a31c1
143dd236
152c6b12
hex20ca80

2148992 has 32 divisors (see below), whose sum is σ = 4349280. Its totient is φ = 1057536.

The previous prime is 2148989. The next prime is 2149003. The reversal of 2148992 is 2998412.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13103 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (135915).

22148992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174640).

2148992 is an abundant number, since it is smaller than the sum of its proper divisors (2200288).

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

2148992 is a wasteful number, since it uses less digits than its factorization.

2148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 2148992 is about 1465.9440644172. The cubic root of 2148992 is about 129.0461145549.

The spelling of 2148992 in words is "two million, one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 103 128 163 206 326 412 652 824 1304 1648 2608 3296 5216 6592 10432 13184 16789 20864 33578 67156 134312 268624 537248 1074496 2148992