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1143242320 = 2451110312613
BaseRepresentation
bin100010000100100…
…0111111001010000
32221200012201122011
41010021013321100
54320132223240
6305235352304
740221253663
oct10411077120
92850181564
101143242320
1153736a970
1227aa52694
13152b1125c
14abb976da
156a5786ea
hex44247e50

1143242320 has 80 divisors (see below), whose sum is σ = 2928062592. Its totient is φ = 411655680.

The previous prime is 1143242311. The next prime is 1143242329. The reversal of 1143242320 is 232423411.

It is an interprime number because it is at equal distance from previous prime (1143242311) and next prime (1143242329).

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 1143242291 and 1143242300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143242329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84334 + ... + 96946.

Almost surely, 21143242320 is an apocalyptic number.

1143242320 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 1143242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464031296).

1143242320 is an abundant number, since it is smaller than the sum of its proper divisors (1784820272).

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

1143242320 is a wasteful number, since it uses less digits than its factorization.

1143242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12740 (or 12734 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1143242320 is about 33811.8665559889. The cubic root of 1143242320 is about 1045.6333606996.

Adding to 1143242320 its reverse (232423411), we get a palindrome (1375665731).

The spelling of 1143242320 in words is "one billion, one hundred forty-three million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 412 440 515 824 880 1030 1133 1648 2060 2266 4120 4532 5665 8240 9064 11330 12613 18128 22660 25226 45320 50452 63065 90640 100904 126130 138743 201808 252260 277486 504520 554972 693715 1009040 1109944 1299139 1387430 2219888 2598278 2774860 5196556 5549720 6495695 10393112 11099440 12991390 14290529 20786224 25982780 28581058 51965560 57162116 71452645 103931120 114324232 142905290 228648464 285810580 571621160 1143242320