Search a number
-
+
2016671040 = 263351012311
BaseRepresentation
bin111100000110011…
…1111010101000000
312012112201111121000
41320030333111000
513112231433130
6532040132000
7100655264256
oct17014772500
95175644530
102016671040
119453a388a
12483467000
13261a63497
14151b985d6
15bc0a7260
hex7833f540

2016671040 has 224 divisors, whose sum is σ = 7187915520. Its totient is φ = 532224000.

The previous prime is 2016671029. The next prime is 2016671057. The reversal of 2016671040 is 401766102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2016670995 and 2016671013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871485 + ... + 873795.

Almost surely, 22016671040 is an apocalyptic number.

2016671040 is a gapful number since it is divisible by the number (20) 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 2016671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593957760).

2016671040 is an abundant number, since it is smaller than the sum of its proper divisors (5171244480).

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

2016671040 is a wasteful number, since it uses less digits than its factorization.

2016671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2016671040 is about 44907.3606438855. The cubic root of 2016671040 is about 1263.4120670100.

The spelling of 2016671040 in words is "two billion, sixteen million, six hundred seventy-one thousand, forty".