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1142166080 = 265111719087
BaseRepresentation
bin100010000010100…
…0001001001000000
32221121012001022102
41010011001021000
54314343303310
6305200325532
740206152156
oct10405011100
92847161272
101142166080
115367a5310
1227a6138a8
13152825423
14ab9973d6
156a4148a5
hex44141240

1142166080 has 112 divisors (see below), whose sum is σ = 3141732096. Its totient is φ = 390881280.

The previous prime is 1142166049. The next prime is 1142166089. The reversal of 1142166080 is 806612411.

It is not an unprimeable number, because it can be changed into a prime (1142166089) 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 15 ways as a sum of consecutive naturals, for example, 50297 + ... + 69383.

Almost surely, 21142166080 is an apocalyptic number.

1142166080 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 1142166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570866048).

1142166080 is an abundant number, since it is smaller than the sum of its proper divisors (1999566016).

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

1142166080 is a wasteful number, since it uses less digits than its factorization.

1142166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19132 (or 19122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1142166080 is about 33795.9476860762. The cubic root of 1142166080 is about 1045.3051404713.

Adding to 1142166080 its reverse (806612411), we get a palindrome (1948778491).

The spelling of 1142166080 in words is "one billion, one hundred forty-two million, one hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1760 1870 2720 2992 3520 3740 5440 5984 7480 11968 14960 19087 29920 38174 59840 76348 95435 152696 190870 209957 305392 324479 381740 419914 610784 648958 763480 839828 1049785 1221568 1297916 1526960 1622395 1679656 2099570 2595832 3053920 3244790 3359312 3569269 4199140 5191664 6107840 6489580 6718624 7138538 8398280 10383328 12979160 13437248 14277076 16796560 17846345 20766656 25958320 28554152 33593120 35692690 51916640 57108304 67186240 71385380 103833280 114216608 142770760 228433216 285541520 571083040 1142166080