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1002002320 = 245111138639
BaseRepresentation
bin111011101110010…
…101011110010000
32120211102222210001
4323232111132100
54023003033240
6243232215344
733554610364
oct7356253620
92524388701
101002002320
114746711a0
1223b69a554
1312c78b6a7
149710d2a4
155ce7989a
hex3bb95790

1002002320 has 40 divisors (see below), whose sum is σ = 2541444480. Its totient is φ = 364364160.

The previous prime is 1002002303. The next prime is 1002002329. The reversal of 1002002320 is 232002001.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002002297 and 1002002306.

It is not an unprimeable number, because it can be changed into a prime (1002002329) 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 7 ways as a sum of consecutive naturals, for example, 568440 + ... + 570199.

It is an arithmetic number, because the mean of its divisors is an integer number (63536112).

Almost surely, 21002002320 is an apocalyptic number.

1002002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002002320 is an abundant number, since it is smaller than the sum of its proper divisors (1539442160).

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

1002002320 is a wasteful number, since it uses less digits than its factorization.

1002002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138663 (or 1138657 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1002002320 is about 31654.4202284610. The cubic root of 1002002320 is about 1000.6669950187. Note that the first 3 decimals are identical.

Adding to 1002002320 its reverse (232002001), we get a palindrome (1234004321).

The spelling of 1002002320 in words is "one billion, two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1138639 2277278 4554556 5693195 9109112 11386390 12525029 18218224 22772780 25050058 45545560 50100116 62625145 91091120 100200232 125250290 200400464 250500580 501001160 1002002320