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1020000000 = 2835717
BaseRepresentation
bin111100110010111…
…111011100000000
32122002022100221210
4330302333130000
54042110000000
6245114050120
734163566635
oct7462773400
92562270853
101020000000
11483844108
12245719940
131334205c6
149967618c
155e832350
hex3ccbf700

1020000000 has 288 divisors, whose sum is σ = 3592959552. Its totient is φ = 256000000.

The previous prime is 1019999989. The next prime is 1020000011. The reversal of 1020000000 is 201.

It is an interprime number because it is at equal distance from previous prime (1019999989) and next prime (1020000011).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1020000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59999992 + ... + 60000008.

It is an arithmetic number, because the mean of its divisors is an integer number (12475554).

Almost surely, 21020000000 is an apocalyptic number.

1020000000 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 1020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796479776).

1020000000 is an abundant number, since it is smaller than the sum of its proper divisors (2572959552).

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

1020000000 is an frugal number, since it uses more digits than its factorization.

1020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 1020000000 is about 31937.4388453426. The cubic root of 1020000000 is about 1006.6227095601.

Adding to 1020000000 its reverse (201), we get a palindrome (1020000201).

The spelling of 1020000000 in words is "one billion, twenty million", and thus it is an aban number and an uban number.