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1002042320 = 24579158551
BaseRepresentation
bin111011101110011…
…111001111010000
32120211112000122112
4323232133033100
54023010323240
6243233124452
733555135116
oct7356371720
92524460575
101002042320
11474699254
1223b6b9728
1312c7a3966
149711dab6
155ce86665
hex3bb9f3d0

1002042320 has 40 divisors (see below), whose sum is σ = 2359253760. Its totient is φ = 395740800.

The previous prime is 1002042299. The next prime is 1002042329. The reversal of 1002042320 is 232402001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10020423202 = 2008177622141964800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002042295 and 1002042304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002042329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72956 + ... + 85595.

It is an arithmetic number, because the mean of its divisors is an integer number (58981344).

Almost surely, 21002042320 is an apocalyptic number.

1002042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002042320 is an abundant number, since it is smaller than the sum of its proper divisors (1357211440).

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

1002042320 is a wasteful number, since it uses less digits than its factorization.

1002042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158643 (or 158637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1002042320 is about 31655.0520454477. The cubic root of 1002042320 is about 1000.6803104061.

Adding to 1002042320 its reverse (232402001), we get a palindrome (1234444321).

The spelling of 1002042320 in words is "one billion, two million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 158551 317102 634204 792755 1268408 1585510 2536816 3171020 6342040 12525529 12684080 25051058 50102116 62627645 100204232 125255290 200408464 250510580 501021160 1002042320