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1066028220 = 2232553131853
BaseRepresentation
bin111111100010100…
…100110010111100
32202021220211210200
4333202210302330
54140400400340
6253440403500
735263042665
oct7742446274
92667824720
101066028220
114a7821864
12259016590
1313cb17c3a
14a181836c
15638c5330
hex3f8a4cbc

1066028220 has 144 divisors (see below), whose sum is σ = 3323672352. Its totient is φ = 276456960.

The previous prime is 1066028213. The next prime is 1066028239. The reversal of 1066028220 is 228206601.

It is a super-2 number, since 2×10660282202 = 2272832331672736800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249314 + ... + 1250166.

It is an arithmetic number, because the mean of its divisors is an integer number (23081058).

Almost surely, 21066028220 is an apocalyptic number.

1066028220 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 1066028220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661836176).

1066028220 is an abundant number, since it is smaller than the sum of its proper divisors (2257644132).

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

1066028220 is a wasteful number, since it uses less digits than its factorization.

1066028220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1066028220 is about 32650.0875955946. The cubic root of 1066028220 is about 1021.5420159634.

The spelling of 1066028220 in words is "one billion, sixty-six million, twenty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 131 159 180 212 262 265 318 393 477 524 530 636 655 786 795 853 954 1060 1179 1310 1572 1590 1706 1908 1965 2358 2385 2559 2620 3180 3412 3930 4265 4716 4770 5118 5895 6943 7677 7860 8530 9540 10236 11790 12795 13886 15354 17060 20829 23580 25590 27772 30708 34715 38385 41658 45209 51180 62487 69430 76770 83316 90418 104145 111743 124974 135627 138860 153540 180836 208290 223486 226045 249948 271254 312435 335229 406881 416580 446972 452090 542508 558715 624870 670458 678135 813762 904180 1005687 1117430 1249740 1340916 1356270 1627524 1676145 2011374 2034405 2234860 2712540 3352290 4022748 4068810 5028435 5922379 6704580 8137620 10056870 11844758 17767137 20113740 23689516 29611895 35534274 53301411 59223790 71068548 88835685 106602822 118447580 177671370 213205644 266507055 355342740 533014110 1066028220