Search a number
-
+
1142757 = 327111797
BaseRepresentation
bin100010110111111100101
32011001120100
410112333211
5243032012
640254313
712466440
oct4267745
92131510
101142757
11710630
12471399
133101b5
1421a657
151788dc
hex116fe5

1142757 has 48 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 552960.

The previous prime is 1142737. The next prime is 1142759. The reversal of 1142757 is 7572411.

It is not a de Polignac number, because 1142757 - 26 = 1142693 is a prime.

It is a super-2 number, since 2×11427572 = 2611787122098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1142757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11733 + ... + 11829.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

21142757 is an apocalyptic number.

1142757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1142757 is the 873-rd pentagonal number.

It is an amenable number.

1142757 is a deficient number, since it is larger than the sum of its proper divisors (1058715).

1142757 is a wasteful number, since it uses less digits than its factorization.

1142757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 1142757 is about 1068.9981290910. The cubic root of 1142757 is about 104.5485378480.

The spelling of 1142757 in words is "one million, one hundred forty-two thousand, seven hundred fifty-seven".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 97 99 119 153 187 231 291 357 561 679 693 873 1067 1071 1309 1649 1683 2037 3201 3927 4947 6111 7469 9603 11543 11781 14841 18139 22407 34629 54417 67221 103887 126973 163251 380919 1142757