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1142589780 = 223356134687
BaseRepresentation
bin100010000011010…
…1000100101010100
32221121222120112000
41010012220211110
54320000333110
6305213355300
740212565353
oct10406504524
92847876460
101142589780
11536a64682
1227a798b30
13152943237
14aba6799a
156a49a1c0
hex441a8954

1142589780 has 96 divisors (see below), whose sum is σ = 3613102080. Its totient is φ = 299687040.

The previous prime is 1142589779. The next prime is 1142589797. The reversal of 1142589780 is 879852411.

It is a super-2 number, since 2×11425897802 = 2611022810720896800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15597 + ... + 50283.

It is an arithmetic number, because the mean of its divisors is an integer number (37636480).

Almost surely, 21142589780 is an apocalyptic number.

1142589780 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 1142589780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806551040).

1142589780 is an abundant number, since it is smaller than the sum of its proper divisors (2470512300).

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

1142589780 is a wasteful number, since it uses less digits than its factorization.

1142589780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34766 (or 34758 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1142589780 is about 33802.2156078562. The cubic root of 1142589780 is about 1045.4343805883.

The spelling of 1142589780 in words is "one billion, one hundred forty-two million, five hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10980 16470 32940 34687 69374 104061 138748 173435 208122 312183 346870 416244 520305 624366 693740 936549 1040610 1248732 1560915 1873098 2081220 2115907 3121830 3746196 4231814 4682745 6243660 6347721 8463628 9365490 10579535 12695442 18730980 19043163 21159070 25390884 31738605 38086326 42318140 57129489 63477210 76172652 95215815 114258978 126954420 190431630 228517956 285647445 380863260 571294890 1142589780