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1442100 = 22352111923
BaseRepresentation
bin101100000000100110100
32201021012010
411200010310
5332121400
650524220
715154242
oct5400464
92637163
101442100
118a5520
12596670
133b651a
14297792
151d7450
hex160134

1442100 has 144 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 316800.

The previous prime is 1442087. The next prime is 1442143. The reversal of 1442100 is 12441.

1442100 is nontrivially palindromic in base 14.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 62689 + ... + 62711.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

21442100 is an apocalyptic number.

1442100 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 1442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

1442100 is an abundant number, since it is smaller than the sum of its proper divisors (3557580).

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

1442100 is a wasteful number, since it uses less digits than its factorization.

1442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1442100 is about 1200.8746812220. The cubic root of 1442100 is about 112.9791905712.

Adding to 1442100 its reverse (12441), we get a palindrome (1454541).

The spelling of 1442100 in words is "one million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 23 25 30 33 38 44 46 50 55 57 60 66 69 75 76 92 95 100 110 114 115 132 138 150 165 190 209 220 228 230 253 275 276 285 300 330 345 380 418 437 460 475 506 550 570 575 627 660 690 759 825 836 874 950 1012 1045 1100 1140 1150 1254 1265 1311 1380 1425 1518 1650 1725 1748 1900 2090 2185 2300 2508 2530 2622 2850 3036 3135 3300 3450 3795 4180 4370 4807 5060 5225 5244 5700 6270 6325 6555 6900 7590 8740 9614 10450 10925 12540 12650 13110 14421 15180 15675 18975 19228 20900 21850 24035 25300 26220 28842 31350 32775 37950 43700 48070 57684 62700 65550 72105 75900 96140 120175 131100 144210 240350 288420 360525 480700 721050 1442100