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1142832 = 24329821
BaseRepresentation
bin100010111000000110000
32011001200010
410113000300
5243032312
640254520
712466605
oct4270060
92131603
101142832
11710699
12471440
13310242
1421a6ac
1517893c
hex117030

1142832 has 40 divisors (see below), whose sum is σ = 3057840. Its totient is φ = 367360.

The previous prime is 1142821. The next prime is 1142833. The reversal of 1142832 is 2382411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1142799 and 1142808.

It is not an unprimeable number, because it can be changed into a prime (1142833) 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, 982 + ... + 1802.

It is an arithmetic number, because the mean of its divisors is an integer number (76446).

21142832 is an apocalyptic number.

1142832 is a gapful number since it is divisible by the number (12) 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 1142832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528920).

1142832 is an abundant number, since it is smaller than the sum of its proper divisors (1915008).

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

1142832 is a wasteful number, since it uses less digits than its factorization.

1142832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1142832 is about 1069.0332080904. The cubic root of 1142832 is about 104.5508249976.

The spelling of 1142832 in words is "one million, one hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 821 1392 1642 2463 3284 4926 6568 9852 13136 19704 23809 39408 47618 71427 95236 142854 190472 285708 380944 571416 1142832