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1142856 = 2333111337
BaseRepresentation
bin100010111000001001000
32011001201000
410113001020
5243032411
640255000
712466641
oct4270110
92131630
101142856
11710710
12471460
13310260
1421a6c8
15178956
hex117048

1142856 has 128 divisors (see below), whose sum is σ = 3830400. Its totient is φ = 311040.

The previous prime is 1142851. The next prime is 1142863. The reversal of 1142856 is 6582411.

1142856 = T48 + T49 + ... + T190.

It is a super-2 number, since 2×11428562 = 2612239673472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142851) 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 31 ways as a sum of consecutive naturals, for example, 30870 + ... + 30906.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

21142856 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 1142856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915200).

1142856 is an abundant number, since it is smaller than the sum of its proper divisors (2687544).

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

1142856 is a wasteful number, since it uses less digits than its factorization.

1142856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1142856 is about 1069.0444331271. The cubic root of 1142856 is about 104.5515568644.

The spelling of 1142856 in words is "one million, one hundred forty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 37 39 44 52 54 66 72 74 78 88 99 104 108 111 117 132 143 148 156 198 216 222 234 264 286 296 297 312 333 351 396 407 429 444 468 481 572 594 666 702 792 814 858 888 936 962 999 1144 1188 1221 1287 1332 1404 1443 1628 1716 1924 1998 2376 2442 2574 2664 2808 2886 3256 3432 3663 3848 3861 3996 4329 4884 5148 5291 5772 7326 7722 7992 8658 9768 10296 10582 10989 11544 12987 14652 15444 15873 17316 21164 21978 25974 29304 30888 31746 34632 42328 43956 47619 51948 63492 87912 95238 103896 126984 142857 190476 285714 380952 571428 1142856