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1142034828 = 2231141892371
BaseRepresentation
bin100010000010010…
…0001000110001100
32221120221101021020
41010010201012030
54314330103303
6305153434140
740205064414
oct10404410614
92846841236
101142034828
11536715740
1227a56b950
131527aa76c
14ab961644
156a3daa53
hex4412118c

1142034828 has 96 divisors (see below), whose sum is σ = 3012629760. Its totient is φ = 333696000.

The previous prime is 1142034827. The next prime is 1142034833. The reversal of 1142034828 is 8284302411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1142034827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480483 + ... + 482853.

It is an arithmetic number, because the mean of its divisors is an integer number (31381560).

Almost surely, 21142034828 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 1142034828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506314880).

1142034828 is an abundant number, since it is smaller than the sum of its proper divisors (1870594932).

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

1142034828 is a wasteful number, since it uses less digits than its factorization.

1142034828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1142034828 is about 33794.0057998456. The cubic root of 1142034828 is about 1045.2650985287.

The spelling of 1142034828 in words is "one billion, one hundred forty-two million, thirty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 89 123 132 164 178 246 267 356 451 492 534 902 979 1068 1353 1804 1958 2371 2706 2937 3649 3916 4742 5412 5874 7113 7298 9484 10947 11748 14226 14596 21894 26081 28452 40139 43788 52162 78243 80278 97211 104324 120417 156486 160556 194422 211019 240834 291633 312972 388844 422038 481668 583266 633057 844076 1069321 1166532 1266114 2138642 2321209 2532228 3207963 4277284 4642418 6415926 6963627 8651779 9284836 12831852 13927254 17303558 25955337 27854508 34607116 51910674 95169569 103821348 190339138 285508707 380678276 571017414 1142034828