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1020000320 = 26523138587
BaseRepresentation
bin111100110010111…
…111100001000000
32122002022101101122
4330302333201000
54042110002240
6245114051412
734163600603
oct7462774100
92562271348
101020000320
11483844379
12245719b68
131334207b1
149967633a
155e8324b5
hex3ccbf840

1020000320 has 56 divisors (see below), whose sum is σ = 2534497344. Its totient is φ = 390258176.

The previous prime is 1020000301. The next prime is 1020000329. The reversal of 1020000320 is 230000201.

1020000320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1020000298 and 1020000307.

It is not an unprimeable number, because it can be changed into a prime (1020000329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61934 + ... + 76653.

Almost surely, 21020000320 is an apocalyptic number.

1020000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020000320 is an abundant number, since it is smaller than the sum of its proper divisors (1514497024).

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

1020000320 is a wasteful number, since it uses less digits than its factorization.

1020000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138627 (or 138617 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1020000320 is about 31937.4438551366. The cubic root of 1020000320 is about 1006.6228148278.

Adding to 1020000320 its reverse (230000201), we get a palindrome (1250000521).

The spelling of 1020000320 in words is "one billion, twenty million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 138587 277174 554348 692935 1108696 1385870 2217392 2771740 3187501 4434784 5543480 6375002 8869568 11086960 12750004 15937505 22173920 25500008 31875010 44347840 51000016 63750020 102000032 127500040 204000064 255000080 510000160 1020000320