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1141968 = 24337643
BaseRepresentation
bin100010110110011010000
32011000111010
410112303100
5243020333
640250520
712464232
oct4266320
92130433
101141968
1170aa83
12470a40
1330ca29
1421a252
15178563
hex116cd0

1141968 has 40 divisors (see below), whose sum is σ = 3034528. Its totient is φ = 369792.

The previous prime is 1141967. The next prime is 1141969. The reversal of 1141968 is 8691411.

It is an interprime number because it is at equal distance from previous prime (1141967) and next prime (1141969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455 + ... + 2097.

21141968 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 1141968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517264).

1141968 is an abundant number, since it is smaller than the sum of its proper divisors (1892560).

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

1141968 is a wasteful number, since it uses less digits than its factorization.

1141968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 1141968 is about 1068.6290282413. The cubic root of 1141968 is about 104.5244709676.

The spelling of 1141968 in words is "one million, one hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 643 888 1286 1776 1929 2572 3858 5144 7716 10288 15432 23791 30864 47582 71373 95164 142746 190328 285492 380656 570984 1141968