Search a number
-
+
1142100 = 22355247
BaseRepresentation
bin100010110110101010100
32011000200000
410112311110
5243021400
640251300
712464511
oct4266524
92130600
101142100
11710093
12470b30
1330cacb
1421a308
15178600
hex116d54

1142100 has 108 divisors (see below), whose sum is σ = 3791424. Its totient is φ = 298080.

The previous prime is 1142083. The next prime is 1142129. The reversal of 1142100 is 12411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24277 + ... + 24323.

21142100 is an apocalyptic number.

1142100 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 1142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895712).

1142100 is an abundant number, since it is smaller than the sum of its proper divisors (2649324).

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

1142100 is a wasteful number, since it uses less digits than its factorization.

1142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1142100 is about 1068.6907878334. The cubic root of 1142100 is about 104.5284981379.

Adding to 1142100 its reverse (12411), we get a palindrome (1154511).

The spelling of 1142100 in words is "one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 47 50 54 60 75 81 90 94 100 108 135 141 150 162 180 188 225 235 243 270 282 300 324 405 423 450 470 486 540 564 675 705 810 846 900 940 972 1175 1215 1269 1350 1410 1620 1692 2025 2115 2350 2430 2538 2700 2820 3525 3807 4050 4230 4700 4860 5076 6075 6345 7050 7614 8100 8460 10575 11421 12150 12690 14100 15228 19035 21150 22842 24300 25380 31725 38070 42300 45684 57105 63450 76140 95175 114210 126900 190350 228420 285525 380700 571050 1142100