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1142142320 = 245115692281
BaseRepresentation
bin100010000010011…
…1011010101110000
32221121010211201102
41010010323111300
54314342023240
6305200023532
740206022664
oct10404732560
92847124642
101142142320
11536789480
1227a601ba8
13152817677
14ab98c8a4
156a40c815
hex4413b570

1142142320 has 80 divisors (see below), whose sum is σ = 2903251680. Its totient is φ = 414412800.

The previous prime is 1142142317. The next prime is 1142142341. The reversal of 1142142320 is 232412411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1142142292 and 1142142301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499580 + ... + 501860.

It is an arithmetic number, because the mean of its divisors is an integer number (36290646).

Almost surely, 21142142320 is an apocalyptic number.

1142142320 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 1142142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451625840).

1142142320 is an abundant number, since it is smaller than the sum of its proper divisors (1761109360).

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

1142142320 is a wasteful number, since it uses less digits than its factorization.

1142142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1142142320 is about 33795.5961628139. The cubic root of 1142142320 is about 1045.2978920735.

Adding to 1142142320 its reverse (232412411), we get a palindrome (1374554731).

The spelling of 1142142320 in words is "one billion, one hundred forty-two million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 569 880 1138 2276 2281 2845 4552 4562 5690 6259 9104 9124 11380 11405 12518 18248 22760 22810 25036 25091 31295 36496 45520 45620 50072 50182 62590 91240 100144 100364 125180 125455 182480 200728 250360 250910 401456 500720 501820 1003640 1297889 2007280 2595778 5191556 6489445 10383112 12978890 14276779 20766224 25957780 28553558 51915560 57107116 71383895 103831120 114214232 142767790 228428464 285535580 571071160 1142142320