Search a number
-
+
1402947840 = 28357194167
BaseRepresentation
bin101001110011111…
…0100100100000000
310121202220010122010
41103213310210000
510333123312330
6351114012520
746523600640
oct12347644400
93552803563
101402947840
1165aa22528
12331a17140
13194871468
14d447c520
15832783b0
hex539f4900

1402947840 has 576 divisors, whose sum is σ = 5604157440. Its totient is φ = 291962880.

The previous prime is 1402947839. The next prime is 1402947841. The reversal of 1402947840 is 487492041.

It is an interprime number because it is at equal distance from previous prime (1402947839) and next prime (1402947841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402947841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 20939487 + ... + 20939553.

It is an arithmetic number, because the mean of its divisors is an integer number (9729440).

Almost surely, 21402947840 is an apocalyptic number.

1402947840 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 1402947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802078720).

1402947840 is an abundant number, since it is smaller than the sum of its proper divisors (4201209600).

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

1402947840 is a wasteful number, since it uses less digits than its factorization.

1402947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1402947840 is about 37455.9453224718. The cubic root of 1402947840 is about 1119.4735621190.

The spelling of 1402947840 in words is "one billion, four hundred two million, nine hundred forty-seven thousand, eight hundred forty".