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1261968 = 24361431
BaseRepresentation
bin100110100000110010000
32101010002120
410310012100
5310340333
643014240
713504131
oct4640620
92333076
101261968
11792154
1250a380
13352536
1424bc88
1519ddb3
hex134190

1261968 has 40 divisors (see below), whose sum is σ = 3321216. Its totient is φ = 412800.

The previous prime is 1261963. The next prime is 1261969. The reversal of 1261968 is 8691621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2713 + ... + 3143.

21261968 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 1261968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660608).

1261968 is an abundant number, since it is smaller than the sum of its proper divisors (2059248).

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

1261968 is a wasteful number, since it uses less digits than its factorization.

1261968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 1261968 is about 1123.3734908747. The cubic root of 1261968 is about 108.0644334303.

The spelling of 1261968 in words is "one million, two hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 431 488 732 862 976 1293 1464 1724 2586 2928 3448 5172 6896 10344 20688 26291 52582 78873 105164 157746 210328 315492 420656 630984 1261968