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1041134220 = 2232572928493
BaseRepresentation
bin111110000011100…
…111001010001100
32200120002002122200
4332003213022030
54113012243340
6251151041500
734541331510
oct7603471214
92616062580
101041134220
11494769605
12250810290
13137910069
149c3b8140
1561609330
hex3e0e728c

1041134220 has 144 divisors (see below), whose sum is σ = 3733853760. Its totient is φ = 229759488.

The previous prime is 1041134207. The next prime is 1041134243. The reversal of 1041134220 is 224311401.

1041134220 is a `hidden beast` number, since 1 + 0 + 411 + 34 + 220 = 666.

1041134220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1041134193 and 1041134202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22294 + ... + 50786.

It is an arithmetic number, because the mean of its divisors is an integer number (25929540).

Almost surely, 21041134220 is an apocalyptic number.

1041134220 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 1041134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866926880).

1041134220 is an abundant number, since it is smaller than the sum of its proper divisors (2692719540).

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

1041134220 is a wasteful number, since it uses less digits than its factorization.

1041134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28544 (or 28539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1041134220 is about 32266.6115357656. The cubic root of 1041134220 is about 1013.5275859229.

Adding to 1041134220 its reverse (224311401), we get a palindrome (1265445621).

The spelling of 1041134220 in words is "one billion, forty-one million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 7308 9135 12180 18270 28493 36540 56986 85479 113972 142465 170958 199451 256437 284930 341916 398902 427395 512874 569860 598353 797804 826297 854790 997255 1025748 1196706 1282185 1652594 1709580 1795059 1994510 2393412 2478891 2564370 2991765 3305188 3590118 3989020 4131485 4957782 5128740 5784079 5983530 7180236 7436673 8262970 8975295 9915564 11568158 11967060 12394455 14873346 16525940 17352237 17950590 23136316 24788910 28920395 29746692 34704474 35901180 37183365 49577820 52056711 57840790 69408948 74366730 86761185 104113422 115681580 148733460 173522370 208226844 260283555 347044740 520567110 1041134220