Search a number
-
+
1402875936 = 2536711271
BaseRepresentation
bin101001110011110…
…0011000000100000
310121202202111000000
41103213203000200
510333114012221
6351112300000
746523151210
oct12347430040
93552674000
101402875936
1165a983500
123319a1600
13194847807
14d4460240
1583261e26
hex539e3020

1402875936 has 504 divisors, whose sum is σ = 5275150272. Its totient is φ = 359251200.

The previous prime is 1402875931. The next prime is 1402875937. The reversal of 1402875936 is 6395782041.

1402875936 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

1402875936 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1402875891 and 1402875900.

It is not an unprimeable number, because it can be changed into a prime (1402875931) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19758781 + ... + 19758851.

It is an arithmetic number, because the mean of its divisors is an integer number (10466568).

It is a 1-persistent number, because it is pandigital, but 2⋅1402875936 = 2805751872 is not.

Almost surely, 21402875936 is an apocalyptic number.

1402875936 is a gapful number since it is divisible by the number (16) 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 1402875936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637575136).

1402875936 is an abundant number, since it is smaller than the sum of its proper divisors (3872274336).

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

1402875936 is an equidigital number, since it uses as much as digits as its factorization.

1402875936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1402875936 is about 37454.9854625522. The cubic root of 1402875936 is about 1119.4544366747.

The spelling of 1402875936 in words is "one billion, four hundred two million, eight hundred seventy-five thousand, nine hundred thirty-six".