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1029941730 = 23454131013
BaseRepresentation
bin111101011000111…
…010100111100010
32122210000110110000
4331120322213202
54102131113410
6250111120430
734344234366
oct7530724742
92583013400
101029941730
11489414514
12248b13116
131354c179c
149ab032a6
1560647dc0
hex3d63a9e2

1029941730 has 80 divisors (see below), whose sum is σ = 2837036664. Its totient is φ = 267943680.

The previous prime is 1029941729. The next prime is 1029941741. The reversal of 1029941730 is 371499201.

It can be written as a sum of positive squares in 4 ways, for example, as 196868961 + 833072769 = 14031^2 + 28863^2 .

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 39 ways as a sum of consecutive naturals, for example, 17704 + ... + 48716.

Almost surely, 21029941730 is an apocalyptic number.

1029941730 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 1029941730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418518332).

1029941730 is an abundant number, since it is smaller than the sum of its proper divisors (1807094934).

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

1029941730 is a wasteful number, since it uses less digits than its factorization.

1029941730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31073 (or 31064 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1029941730 is about 32092.7052458966. The cubic root of 1029941730 is about 1009.8825893645.

The spelling of 1029941730 in words is "one billion, twenty-nine million, nine hundred forty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 1107 1230 1845 2214 3321 3690 5535 6642 11070 16605 31013 33210 62026 93039 155065 186078 279117 310130 465195 558234 837351 930390 1271533 1395585 1674702 2512053 2543066 2791170 3814599 4186755 5024106 6357665 7629198 8373510 11443797 12560265 12715330 19072995 22887594 25120530 34331391 38145990 57218985 68662782 102994173 114437970 171656955 205988346 343313910 514970865 1029941730