Search a number
-
+
1660001040 = 24355175023
BaseRepresentation
bin110001011110001…
…1001101100010000
311021200120210100000
41202330121230100
511344430013130
6432415330000
756064530115
oct14274315420
94250523300
101660001040
11782033395
123a3b20900
13205bb3349
1411a67290c
159ab02260
hex62f19b10

1660001040 has 240 divisors, whose sum is σ = 6122608128. Its totient is φ = 416544768.

The previous prime is 1660001017. The next prime is 1660001053. The reversal of 1660001040 is 401000661.

1660001040 is a `hidden beast` number, since 1 + 660 + 0 + 0 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327969 + ... + 332991.

Almost surely, 21660001040 is an apocalyptic number.

1660001040 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 1660001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061304064).

1660001040 is an abundant number, since it is smaller than the sum of its proper divisors (4462607088).

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

1660001040 is a wasteful number, since it uses less digits than its factorization.

1660001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1660001040 is about 40743.1103378228. The cubic root of 1660001040 is about 1184.0483948139.

The spelling of 1660001040 in words is "one billion, six hundred sixty million, one thousand, forty".