[go: up one dir, main page]

Search a number
-
+
1406235138 = 2371121741397
BaseRepresentation
bin101001111010001…
…0111001000000010
310122000002010221220
41103310113020002
510334444011023
6351312255510
746563541620
oct12364271002
93560063856
101406235138
11661868300
12332b41596
131954527c9
14d4a96510
15836c73e3
hex53d17202

1406235138 has 192 divisors, whose sum is σ = 3841737984. Its totient is φ = 334540800.

The previous prime is 1406235119. The next prime is 1406235151. The reversal of 1406235138 is 8315326041.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1406235099 and 1406235108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3541956 + ... + 3542352.

It is an arithmetic number, because the mean of its divisors is an integer number (20009052).

Almost surely, 21406235138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406235138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920868992).

1406235138 is an abundant number, since it is smaller than the sum of its proper divisors (2435502846).

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

1406235138 is a wasteful number, since it uses less digits than its factorization.

1406235138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1406235138 is about 37499.8018394764. The cubic root of 1406235138 is about 1120.3472398024.

The spelling of 1406235138 in words is "one billion, four hundred six million, two hundred thirty-five thousand, one hundred thirty-eight".