Search a number
-
+
1142381160 = 233256152021
BaseRepresentation
bin100010000010111…
…0101101001101000
32221121120222100100
41010011311221220
54314422144120
6305205105400
740211036214
oct10405655150
92847528310
101142381160
11536931968
1227a6b8260
1315289c2ab
14aba11944
156a458490
hex44175a68

1142381160 has 96 divisors (see below), whose sum is σ = 3773675880. Its totient is φ = 299635200.

The previous prime is 1142381131. The next prime is 1142381189. The reversal of 1142381160 is 611832411.

It is a happy number.

1142381160 is a `hidden beast` number, since 1 + 1 + 423 + 81 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (1142381131) and next prime (1142381189).

It can be written as a sum of positive squares in 4 ways, for example, as 584382276 + 557998884 = 24174^2 + 23622^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4051 + ... + 47970.

Almost surely, 21142381160 is an apocalyptic number.

1142381160 is a gapful number since it is divisible by the number (10) 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 1142381160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886837940).

1142381160 is an abundant number, since it is smaller than the sum of its proper divisors (2631294720).

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

1142381160 is a wasteful number, since it uses less digits than its factorization.

1142381160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52099 (or 52092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1142381160 is about 33799.1295745911. The cubic root of 1142381160 is about 1045.3707497620.

The spelling of 1142381160 in words is "one billion, one hundred forty-two million, three hundred eighty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 52021 104042 156063 208084 260105 312126 416168 468189 520210 624252 780315 936378 1040420 1248504 1560630 1872756 2080840 2340945 3121260 3173281 3745512 4681890 6242520 6346562 9363780 9519843 12693124 15866405 18727560 19039686 25386248 28559529 31732810 38079372 47599215 57119058 63465620 76158744 95198430 114238116 126931240 142797645 190396860 228476232 285595290 380793720 571190580 1142381160