Search a number
-
+
1400869728 = 253737541
BaseRepresentation
bin101001101111111…
…1001001101100000
310121121222120000000
41103133321031200
510332110312403
6351001300000
746500124206
oct12337711540
93547876000
101400869728
11659833185
12331194600
131942c45cb
14d409b076
1582eb77a3
hex537f9360

1400869728 has 192 divisors, whose sum is σ = 4255957440. Its totient is φ = 453496320.

The previous prime is 1400869727. The next prime is 1400869741. The reversal of 1400869728 is 8279680041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400869727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2589138 + ... + 2589678.

It is an arithmetic number, because the mean of its divisors is an integer number (22166445).

Almost surely, 21400869728 is an apocalyptic number.

1400869728 is a gapful number since it is divisible by the number (18) 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 1400869728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127978720).

1400869728 is an abundant number, since it is smaller than the sum of its proper divisors (2855087712).

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

1400869728 is an frugal number, since it uses more digits than its factorization.

1400869728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1400869728 is about 37428.1942925383. The cubic root of 1400869728 is about 1118.9205501024.

The spelling of 1400869728 in words is "one billion, four hundred million, eight hundred sixty-nine thousand, seven hundred twenty-eight".