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1400675328 = 2103513433
BaseRepresentation
bin101001101111100…
…1001110000000000
310121121121200100000
41103133021300000
510332033102303
6350553200000
746465354353
oct12337116000
93547550300
101400675328
11659710118
12331100000
13194256c90
14d404a29a
1582e79da3
hex537c9c00

1400675328 has 264 divisors, whose sum is σ = 4527276208. Its totient is φ = 429981696.

The previous prime is 1400675317. The next prime is 1400675329. The reversal of 1400675328 is 8235760041.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1400675292 and 1400675301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400675329) 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 23 ways as a sum of consecutive naturals, for example, 3234600 + ... + 3235032.

Almost surely, 21400675328 is an apocalyptic number.

1400675328 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 1400675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263638104).

1400675328 is an abundant number, since it is smaller than the sum of its proper divisors (3126600880).

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

1400675328 is an equidigital number, since it uses as much as digits as its factorization.

1400675328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1400675328 is about 37425.5972297036. The cubic root of 1400675328 is about 1118.8687898249.

The spelling of 1400675328 in words is "one billion, four hundred million, six hundred seventy-five thousand, three hundred twenty-eight".