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1268148 = 223731487
BaseRepresentation
bin100110101100110110100
32101102120110
410311212310
5311040043
643103020
713531140
oct4654664
92342513
101268148
11796862
12511a70
133552ab
14250220
151a0b33
hex1359b4

1268148 has 48 divisors (see below), whose sum is σ = 3497984. Its totient is φ = 349920.

The previous prime is 1268147. The next prime is 1268167. The reversal of 1268148 is 8418621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268143) 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 15 ways as a sum of consecutive naturals, for example, 2361 + ... + 2847.

21268148 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 1268148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748992).

1268148 is an abundant number, since it is smaller than the sum of its proper divisors (2229836).

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

1268148 is a wasteful number, since it uses less digits than its factorization.

1268148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1268148 is about 1126.1207750503. The cubic root of 1268148 is about 108.2405475090.

The spelling of 1268148 in words is "one million, two hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 487 651 868 974 1302 1461 1948 2604 2922 3409 5844 6818 10227 13636 15097 20454 30194 40908 45291 60388 90582 105679 181164 211358 317037 422716 634074 1268148