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1020432330 = 2385103151
BaseRepresentation
bin111100110100101…
…000111111001010
32122010010100000000
4330310220333022
54042212313310
6245131223430
734200350241
oct7464507712
92563110000
101020432330
11484009a05
122458a7b76
13133542318
1499749958
155e8ba4c0
hex3cd28fca

1020432330 has 144 divisors (see below), whose sum is σ = 2800197504. Its totient is φ = 267688800.

The previous prime is 1020432277. The next prime is 1020432331. The reversal of 1020432330 is 332340201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020432331) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6757755 + ... + 6757905.

It is an arithmetic number, because the mean of its divisors is an integer number (19445816).

Almost surely, 21020432330 is an apocalyptic number.

1020432330 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 1020432330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400098752).

1020432330 is an abundant number, since it is smaller than the sum of its proper divisors (1779765174).

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

1020432330 is an equidigital number, since it uses as much as digits as its factorization.

1020432330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1020432330 is about 31944.2065169883. The cubic root of 1020432330 is about 1006.7649094701.

Adding to 1020432330 its reverse (332340201), we get a palindrome (1352772531).

The spelling of 1020432330 in words is "one billion, twenty million, four hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 151 162 206 243 270 302 309 405 453 486 515 618 729 755 810 906 927 1030 1215 1359 1458 1510 1545 1854 2187 2265 2430 2718 2781 3090 3645 4077 4374 4530 4635 5562 6561 6795 7290 8154 8343 9270 10935 12231 13122 13590 13905 15553 16686 20385 21870 24462 25029 27810 31106 32805 36693 40770 41715 46659 50058 61155 65610 73386 75087 77765 83430 93318 110079 122310 125145 139977 150174 155530 183465 220158 225261 233295 250290 279954 330237 366930 375435 419931 450522 466590 550395 660474 675783 699885 750870 839862 990711 1100790 1126305 1259793 1351566 1399770 1651185 1981422 2099655 2252610 2519586 3302370 3378915 3779379 4199310 4953555 6298965 6757830 7558758 9907110 11338137 12597930 18896895 22676274 34014411 37793790 56690685 68028822 102043233 113381370 170072055 204086466 340144110 510216165 1020432330