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1420332320 = 2551117371283
BaseRepresentation
bin101010010101000…
…1000110100100000
310122222121100122202
41110222020310200
510402101113240
6352534352332
750124424361
oct12452106440
93588540582
101420332320
11669816770
123377bb6a8
1319834a234
14d68c5b68
1584a5e315
hex54a88d20

1420332320 has 192 divisors, whose sum is σ = 3983769216. Its totient is φ = 472596480.

The previous prime is 1420332299. The next prime is 1420332323. The reversal of 1420332320 is 232330241.

1420332320 = T173 + T174 + ... + T2042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1420332292 and 1420332301.

It is not an unprimeable number, because it can be changed into a prime (1420332323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106399 + ... + 1107681.

It is an arithmetic number, because the mean of its divisors is an integer number (20748798).

Almost surely, 21420332320 is an apocalyptic number.

1420332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991884608).

1420332320 is an abundant number, since it is smaller than the sum of its proper divisors (2563436896).

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

1420332320 is a wasteful number, since it uses less digits than its factorization.

1420332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1420332320 is about 37687.2965334474. The cubic root of 1420332320 is about 1124.0785396165.

Adding to 1420332320 its reverse (232330241), we get a palindrome (1652662561).

The spelling of 1420332320 in words is "one billion, four hundred twenty million, three hundred thirty-two thousand, three hundred twenty".