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1073829380 = 225132317701
BaseRepresentation
bin100000000000001…
…0101011000000100
32202211121011222112
41000000111120010
54144400020010
6254315520152
735416253621
oct10000253004
92684534875
101073829380
1150116a9a8
1225b759058
13141619a00
14a2889348
1564416a05
hex40015604

1073829380 has 36 divisors (see below), whose sum is σ = 2441857572. Its totient is φ = 396489600.

The previous prime is 1073829373. The next prime is 1073829389. The reversal of 1073829380 is 839283701.

1073829380 = T3480 + T3481 + ... + T3648.

It can be written as a sum of positive squares in 6 ways, for example, as 383611396 + 690217984 = 19586^2 + 26272^2 .

It is not an unprimeable number, because it can be changed into a prime (1073829389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155471 + ... + 162230.

It is an arithmetic number, because the mean of its divisors is an integer number (67829377).

Almost surely, 21073829380 is an apocalyptic number.

1073829380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1073829380 is an abundant number, since it is smaller than the sum of its proper divisors (1368028192).

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

1073829380 is a wasteful number, since it uses less digits than its factorization.

1073829380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317736 (or 317721 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1073829380 is about 32769.3359713010. The cubic root of 1073829380 is about 1024.0278325463.

The spelling of 1073829380 in words is "one billion, seventy-three million, eight hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 317701 635402 1270804 1588505 3177010 4130113 6354020 8260226 16520452 20650565 41301130 53691469 82602260 107382938 214765876 268457345 536914690 1073829380