Search a number
-
+
1071719424 = 210355973
BaseRepresentation
bin111111111000010…
…010010000000000
32202200121222200000
4333320102100000
54143330010144
6254202400000
735362315266
oct7770222000
92680558600
101071719424
114aaa59736
1225ab00000
1314105b509
14a249a436
156414b769
hex3fe12400

1071719424 has 264 divisors, whose sum is σ = 3308279520. Its totient is φ = 346374144.

The previous prime is 1071719387. The next prime is 1071719503. The reversal of 1071719424 is 4249171701.

It is a super-2 number, since 2×10717194242 = 2297165047557783552, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14681052 + ... + 14681124.

Almost surely, 21071719424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654139760).

1071719424 is an abundant number, since it is smaller than the sum of its proper divisors (2236560096).

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

1071719424 is an frugal number, since it uses more digits than its factorization.

1071719424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1071719424 is about 32737.1260803388. The cubic root of 1071719424 is about 1023.3566922935.

The spelling of 1071719424 in words is "one billion, seventy-one million, seven hundred nineteen thousand, four hundred twenty-four".