Search a number
-
+
1400864256 = 29321129953
BaseRepresentation
bin101001101111111…
…0111111000000000
310121121222021111100
41103133313320000
510332110124011
6351001214400
746500102231
oct12337677000
93547867440
101400864256
1165982a060
12331191400
131942c1c7c
14d4099088
1582eb5d56
hex537f7e00

1400864256 has 240 divisors, whose sum is σ = 4567408560. Its totient is φ = 409436160.

The previous prime is 1400864251. The next prime is 1400864263. The reversal of 1400864256 is 6524680041.

1400864256 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 8 + 642 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1400864256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400864251) 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 23 ways as a sum of consecutive naturals, for example, 1469476 + ... + 1470428.

It is an arithmetic number, because the mean of its divisors is an integer number (19030869).

Almost surely, 21400864256 is an apocalyptic number.

1400864256 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 1400864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283704280).

1400864256 is an abundant number, since it is smaller than the sum of its proper divisors (3166544304).

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

1400864256 is a wasteful number, since it uses less digits than its factorization.

1400864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1400864256 is about 37428.1211924938. The cubic root of 1400864256 is about 1118.9190932119.

The spelling of 1400864256 in words is "one billion, four hundred million, eight hundred sixty-four thousand, two hundred fifty-six".