Search a number
-
+
1678737060 = 223257211413
BaseRepresentation
bin110010000001111…
…0111111010100100
311022222211200022200
41210003313322210
511414224041220
6434325054500
756413013100
oct14403677244
94288750280
101678737060
11791670000
123aa257430
13209a43350
1411cd4c900
159c5a3890
hex640f7ea4

1678737060 has 540 divisors, whose sum is σ = 7017077340. Its totient is φ = 321995520.

The previous prime is 1678737031. The next prime is 1678737061. The reversal of 1678737060 is 607378761.

It is a happy number.

1678737060 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 413227584 + 1265509476 = 20328^2 + 35574^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1678736997 and 1678737015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678737061) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 129133614 + ... + 129133626.

Almost surely, 21678737060 is an apocalyptic number.

1678737060 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 1678737060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508538670).

1678737060 is an abundant number, since it is smaller than the sum of its proper divisors (5338340280).

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

1678737060 is a wasteful number, since it uses less digits than its factorization.

1678737060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 1678737060 is about 40972.3938768532. The cubic root of 1678737060 is about 1188.4864263201.

The spelling of 1678737060 in words is "one billion, six hundred seventy-eight million, seven hundred thirty-seven thousand, sixty".