Search a number
-
+
1630231920 = 243451913241
BaseRepresentation
bin110000100101011…
…0101110101110000
311012121120100210000
41201022311311300
511314314410140
6425433310000
755253512512
oct14112656560
94177510700
101630231920
11767250409
12395b65300
131cc98c495
14116723bb2
15981c1a30
hex612b5d70

1630231920 has 200 divisors, whose sum is σ = 5960489040. Its totient is φ = 411816960.

The previous prime is 1630231909. The next prime is 1630231921. The reversal of 1630231920 is 291320361.

1630231920 is a `hidden beast` number, since 1 + 630 + 2 + 3 + 1 + 9 + 20 = 666.

It is a super-2 number, since 2×16302319202 = 5315312225973772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630231921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116500 + ... + 129740.

Almost surely, 21630231920 is an apocalyptic number.

1630231920 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 1630231920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980244520).

1630231920 is an abundant number, since it is smaller than the sum of its proper divisors (4330257120).

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

1630231920 is a wasteful number, since it uses less digits than its factorization.

1630231920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13285 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1630231920 is about 40376.1305724063. The cubic root of 1630231920 is about 1176.9277352313.

The spelling of 1630231920 in words is "one billion, six hundred thirty million, two hundred thirty-one thousand, nine hundred twenty".