Search a number
-
+
1142592 = 26311541
BaseRepresentation
bin100010110111101000000
32011001100020
410112331000
5243030332
640253440
712466113
oct4267500
92131306
101142592
117104a0
12471280
133100b9
1421a57a
1517882c
hex116f40

1142592 has 56 divisors (see below), whose sum is σ = 3304032. Its totient is φ = 345600.

The previous prime is 1142573. The next prime is 1142593. The reversal of 1142592 is 2952411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142593) 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, 1842 + ... + 2382.

21142592 is an apocalyptic number.

1142592 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 1142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652016).

1142592 is an abundant number, since it is smaller than the sum of its proper divisors (2161440).

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

1142592 is a wasteful number, since it uses less digits than its factorization.

1142592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 1142592 is about 1068.9209512401. The cubic root of 1142592 is about 104.5435057665.

The spelling of 1142592 in words is "one million, one hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 541 704 1056 1082 1623 2112 2164 3246 4328 5951 6492 8656 11902 12984 17312 17853 23804 25968 34624 35706 47608 51936 71412 95216 103872 142824 190432 285648 380864 571296 1142592