Search a number
-
+
1112142000 = 24353238059
BaseRepresentation
bin100001001001001…
…1111000010110000
32212111200200000110
41002102133002300
54234202021000
6302205021320
736363023334
oct10222370260
92774620013
101112142000
11520858822
12270554840
131495424b8
14a79bd7c4
1567983850
hex4249f0b0

1112142000 has 160 divisors (see below), whose sum is σ = 3741903360. Its totient is φ = 283641600.

The previous prime is 1112141969. The next prime is 1112142001. The reversal of 1112142000 is 2412111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1112142001) 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, 133971 + ... + 142029.

It is an arithmetic number, because the mean of its divisors is an integer number (23386896).

Almost surely, 21112142000 is an apocalyptic number.

1112142000 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 1112142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870951680).

1112142000 is an abundant number, since it is smaller than the sum of its proper divisors (2629761360).

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

1112142000 is a wasteful number, since it uses less digits than its factorization.

1112142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1112142000 is about 33348.7930816094. The cubic root of 1112142000 is about 1036.0643907842.

Adding to 1112142000 its reverse (2412111), we get a palindrome (1114554111).

The spelling of 1112142000 in words is "one billion, one hundred twelve million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8059 8625 9200 11500 13800 16118 17250 23000 24177 27600 32236 34500 40295 46000 48354 64472 69000 80590 96708 120885 128944 138000 161180 185357 193416 201475 241770 322360 370714 386832 402950 483540 556071 604425 644720 741428 805900 926785 967080 1007375 1112142 1208850 1482856 1611800 1853570 1934160 2014750 2224284 2417700 2780355 2965712 3022125 3223600 3707140 4029500 4448568 4633925 4835400 5560710 6044250 7414280 8059000 8897136 9267850 9670800 11121420 12088500 13901775 14828560 16118000 18535700 22242840 23169625 24177000 27803550 37071400 44485680 46339250 48354000 55607100 69508875 74142800 92678500 111214200 139017750 185357000 222428400 278035500 370714000 556071000 1112142000