Search a number
-
+
1640716992 = 26332921129
BaseRepresentation
bin110000111001011…
…0101101011000000
311020100022001121000
41201302311223000
511330010420432
6430450132000
755441602315
oct14162655300
94210261530
101640716992
11772161a62
12399581000
13201bc0a75
14117c92d0c
159909357c
hex61cb5ac0

1640716992 has 168 divisors, whose sum is σ = 4999888400. Its totient is φ = 527579136.

The previous prime is 1640716933. The next prime is 1640716993. The reversal of 1640716992 is 2996170461.

It is not an unprimeable number, because it can be changed into a prime (1640716993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452684 + ... + 1453812.

Almost surely, 21640716992 is an apocalyptic number.

1640716992 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 1640716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499944200).

1640716992 is an abundant number, since it is smaller than the sum of its proper divisors (3359171408).

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

1640716992 is a wasteful number, since it uses less digits than its factorization.

1640716992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1640716992 is about 40505.7649230329. The cubic root of 1640716992 is about 1179.4455386090.

The spelling of 1640716992 in words is "one billion, six hundred forty million, seven hundred sixteen thousand, nine hundred ninety-two".