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1002073320 = 233252783537
BaseRepresentation
bin111011101110100…
…110110011101000
32120211120121011200
4323232212303220
54023012321240
6243233524200
733555324363
oct7356466350
92524517150
101002073320
1147470a576
1223b713660
1312c7b4ac1
149712b0da
155ce90930
hex3bba6ce8

1002073320 has 48 divisors (see below), whose sum is σ = 3256739460. Its totient is φ = 267219456.

The previous prime is 1002073309. The next prime is 1002073327. The reversal of 1002073320 is 233702001.

It can be written as a sum of positive squares in 2 ways, for example, as 941139684 + 60933636 = 30678^2 + 7806^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1002073293 and 1002073302.

It is not an unprimeable number, because it can be changed into a prime (1002073327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391409 + ... + 1392128.

Almost surely, 21002073320 is an apocalyptic number.

1002073320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002073320 is an abundant number, since it is smaller than the sum of its proper divisors (2254666140).

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

1002073320 is a wasteful number, since it uses less digits than its factorization.

1002073320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783554 (or 2783547 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 1002073320 is about 31655.5416949387. The cubic root of 1002073320 is about 1000.6906295876.

Adding to 1002073320 its reverse (233702001), we get a palindrome (1235775321).

The spelling of 1002073320 in words is "one billion, two million, seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2783537 5567074 8350611 11134148 13917685 16701222 22268296 25051833 27835370 33402444 41753055 50103666 55670740 66804888 83506110 100207332 111341480 125259165 167012220 200414664 250518330 334024440 501036660 1002073320