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1142175160 = 235731181727
BaseRepresentation
bin100010000010100…
…0011010110111000
32221121012111202201
41010011003112320
54314344101120
6305200435544
740206220510
oct10405032670
92847174681
101142175160
11536801115
1227a618bb4
131528295b9
14ab99a840
156a41740a
hex441435b8

1142175160 has 128 divisors (see below), whose sum is σ = 3052707840. Its totient is φ = 376358400.

The previous prime is 1142175119. The next prime is 1142175161. The reversal of 1142175160 is 615712411.

It is a super-2 number, since 2×11421751602 = 2609128192242051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142175161) 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, 1570717 + ... + 1571443.

It is an arithmetic number, because the mean of its divisors is an integer number (23849280).

Almost surely, 21142175160 is an apocalyptic number.

1142175160 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 1142175160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526353920).

1142175160 is an abundant number, since it is smaller than the sum of its proper divisors (1910532680).

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

1142175160 is a wasteful number, since it uses less digits than its factorization.

1142175160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1142175160 is about 33796.0820214415. The cubic root of 1142175160 is about 1045.3079104554.

Adding to 1142175160 its reverse (615712411), we get a palindrome (1757887571).

The spelling of 1142175160 in words is "one billion, one hundred forty-two million, one hundred seventy-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 181 217 248 280 310 362 434 620 724 727 868 905 1085 1240 1267 1448 1454 1736 1810 2170 2534 2908 3620 3635 4340 5068 5089 5611 5816 6335 7240 7270 8680 10136 10178 11222 12670 14540 20356 22444 22537 25340 25445 28055 29080 39277 40712 44888 45074 50680 50890 56110 78554 90148 101780 112220 112685 131587 157108 157759 180296 196385 203560 224440 225370 263174 314216 315518 392770 450740 526348 631036 657935 785540 788795 901480 921109 1052696 1262072 1315870 1571080 1577590 1842218 2631740 3155180 3684436 4079197 4605545 5263480 6310360 7368872 8158394 9211090 16316788 18422180 20395985 28554379 32633576 36844360 40791970 57108758 81583940 114217516 142771895 163167880 228435032 285543790 571087580 1142175160