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1142100936 = 2332173312819
BaseRepresentation
bin100010000010011…
…0001001111001000
32221121001201221200
41010010301033020
54314334212221
6305155104200
740205461224
oct10404611710
92847051850
101142100936
11536760379
1227a5a2060
13152801892
14ab97b784
156a400426
hex441313c8

1142100936 has 96 divisors (see below), whose sum is σ = 3286202400. Its totient is φ = 357096960.

The previous prime is 1142100929. The next prime is 1142100979. The reversal of 1142100936 is 6390012411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403735 + ... + 406553.

It is an arithmetic number, because the mean of its divisors is an integer number (34231275).

Almost surely, 21142100936 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 1142100936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643101200).

1142100936 is an abundant number, since it is smaller than the sum of its proper divisors (2144101464).

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

1142100936 is a wasteful number, since it uses less digits than its factorization.

1142100936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1142100936 is about 33794.9838881453. The cubic root of 1142100936 is about 1045.2852669305.

The spelling of 1142100936 in words is "one billion, one hundred forty-two million, one hundred thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 331 408 612 662 993 1224 1324 1986 2648 2819 2979 3972 5627 5638 5958 7944 8457 11254 11276 11916 16881 16914 22508 22552 23832 25371 33762 33828 45016 47923 50643 50742 67524 67656 95846 101286 101484 135048 143769 191692 202572 202968 287538 383384 405144 431307 575076 862614 933089 1150152 1725228 1866178 2799267 3450456 3732356 5598534 7464712 8397801 11197068 15862513 16795602 22394136 31725026 33591204 47587539 63450052 67182408 95175078 126900104 142762617 190350156 285525234 380700312 571050468 1142100936