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BaseRepresentation
bin111011100110101…
…101100101010000
32120200200110111020
4323212231211100
54022000111140
6243121315440
733531615216
oct7346554520
92520613436
101000003920
11473526823
1223aa95b80
1312c23bbc6
1496b4ccb6
155cbd26d0

1000003920 has 160 divisors (see below), whose sum is σ = 3323037312. Its totient is φ = 247873536.

The previous prime is 1000003919. The next prime is 1000003931. The reversal of 1000003920 is 293000001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000003920.

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, 337164 + ... + 340116.

Almost surely, 21000003920 is an apocalyptic number.

1000003920 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 1000003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661518656).

1000003920 is an abundant number, since it is smaller than the sum of its proper divisors (2323033392).

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

1000003920 is a wasteful number, since it uses less digits than its factorization.

1000003920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1000003920 is about 31622.8385822652. The cubic root of 1000003920 is about 1000.0013066650.

Adding to 1000003920 its reverse (293000001), we get a palindrome (1293003921).

The spelling of 1000003920 in words is "one billion, three thousand, nine hundred twenty".