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1132030020 = 2235112241647
BaseRepresentation
bin100001101111001…
…0110100001000100
32220220010002020210
41003132112201010
54304244430040
6304155155420
740024045032
oct10336264104
92826102223
101132030020
11531001a00
12277145b70
131506b6964
14aa4b9552
15695b1480
hex43796844

1132030020 has 144 divisors (see below), whose sum is σ = 3503896704. Its totient is φ = 272870400.

The previous prime is 1132030019. The next prime is 1132030037. The reversal of 1132030020 is 200302311.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1132029978 and 1132030005.

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 47 ways as a sum of consecutive naturals, for example, 1749337 + ... + 1749983.

It is an arithmetic number, because the mean of its divisors is an integer number (24332616).

Almost surely, 21132030020 is an apocalyptic number.

1132030020 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 1132030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751948352).

1132030020 is an abundant number, since it is smaller than the sum of its proper divisors (2371866684).

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

1132030020 is a wasteful number, since it uses less digits than its factorization.

1132030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1132030020 is about 33645.6538055066. The cubic root of 1132030020 is about 1042.2037895799.

Adding to 1132030020 its reverse (200302311), we get a palindrome (1332332331).

The spelling of 1132030020 in words is "one billion, one hundred thirty-two million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 241 242 330 363 482 484 605 647 660 723 726 964 1205 1210 1294 1446 1452 1815 1941 2410 2420 2588 2651 2892 3235 3615 3630 3882 4820 5302 6470 7117 7230 7260 7764 7953 9705 10604 12940 13255 14234 14460 15906 19410 21351 26510 28468 29161 31812 35585 38820 39765 42702 53020 58322 71170 78287 79530 85404 87483 106755 116644 142340 145805 155927 156574 159060 174966 213510 234861 291610 311854 313148 349932 391435 427020 437415 467781 469722 583220 623708 779635 782870 874830 935562 939444 1174305 1559270 1565740 1715197 1749660 1871124 2338905 2348610 3118540 3430394 4677810 4697220 5145591 6860788 8575985 9355620 10291182 17151970 18867167 20582364 25727955 34303940 37734334 51455910 56601501 75468668 94335835 102911820 113203002 188671670 226406004 283007505 377343340 566015010 1132030020