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1028229930 = 233571341849
BaseRepresentation
bin111101010010011…
…000101100101010
32122122210111022000
4331102120230222
54101211324210
6250010311430
734323544620
oct7522305452
92578714260
101028229930
11488455402
12248428576
131350425a0
149a7b9510
156040aac0
hex3d498b2a

1028229930 has 128 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 216940032.

The previous prime is 1028229907. The next prime is 1028229941. The reversal of 1028229930 is 399228201.

1028229930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3646 + ... + 45494.

It is an arithmetic number, because the mean of its divisors is an integer number (26365500).

Almost surely, 21028229930 is an apocalyptic number.

1028229930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028229930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1028229930 is an abundant number, since it is smaller than the sum of its proper divisors (2346554070).

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

1028229930 is a wasteful number, since it uses less digits than its factorization.

1028229930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41885 (or 41879 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1028229930 is about 32066.0245431204. The cubic root of 1028229930 is about 1009.3227921187.

The spelling of 1028229930 in words is "one billion, twenty-eight million, two hundred twenty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 12285 24570 41849 83698 125547 209245 251094 292943 376641 418490 544037 585886 627735 753282 878829 1088074 1129923 1255470 1464715 1632111 1757658 1883205 2259846 2636487 2720185 2929430 3264222 3766410 3808259 4394145 4896333 5272974 5440370 5649615 7616518 7909461 8160555 8788290 9792666 11299230 11424777 13182435 14688999 15818922 16321110 19041295 22849554 24481665 26364870 29377998 34274331 38082590 39547305 48963330 57123885 68548662 73444995 79094610 102822993 114247770 146889990 171371655 205645986 342743310 514114965 1028229930