Search a number
-
+
1030930992 = 2432721311239
BaseRepresentation
bin111101011100101…
…100001000110000
32122211212201110100
4331130230020300
54102404242432
6250144232400
734355524500
oct7534541060
92584781410
101030930992
11489a2a793
1224930b700
13135779b50
149acbda00
156079107c
hex3d72c230

1030930992 has 180 divisors, whose sum is σ = 3614716560. Its totient is φ = 271869696.

The previous prime is 1030930991. The next prime is 1030930997. The reversal of 1030930992 is 2990390301.

It is a super-2 number, since 2×10309309922 = 2125637420532208128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1030930991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86109 + ... + 97347.

Almost surely, 21030930992 is an apocalyptic number.

1030930992 is a gapful number since it is divisible by the number (12) 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 1030930992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807358280).

1030930992 is an abundant number, since it is smaller than the sum of its proper divisors (2583785568).

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

1030930992 is a wasteful number, since it uses less digits than its factorization.

1030930992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11280 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 1030930992 is about 32108.1141146596. The cubic root of 1030930992 is about 1010.2058176119.

The spelling of 1030930992 in words is "one billion, thirty million, nine hundred thirty thousand, nine hundred ninety-two".