Search a number
-
+
1400210112 = 26371041823
BaseRepresentation
bin101001101110101…
…1000001011000000
310121120202001011210
41103131120023000
510331423210422
6350535210120
746461406140
oct12335301300
93546661153
101400210112
11659422644
12330b16940
131941232c2
14d3d68920
1582dd710c
hex537582c0

1400210112 has 56 divisors (see below), whose sum is σ = 4233972736. Its totient is φ = 400059648.

The previous prime is 1400210101. The next prime is 1400210171. The reversal of 1400210112 is 2110120041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 519568 + ... + 522255.

It is an arithmetic number, because the mean of its divisors is an integer number (75606656).

Almost surely, 21400210112 is an apocalyptic number.

1400210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1400210112 is an abundant number, since it is smaller than the sum of its proper divisors (2833762624).

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

1400210112 is a wasteful number, since it uses less digits than its factorization.

1400210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041845 (or 1041835 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1400210112 is about 37419.3815021040. The cubic root of 1400210112 is about 1118.7449035607.

Adding to 1400210112 its reverse (2110120041), we get a palindrome (3510330153).

The spelling of 1400210112 in words is "one billion, four hundred million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1041823 2083646 3125469 4167292 6250938 7292761 8334584 12501876 14585522 16669168 21878283 25003752 29171044 33338336 43756566 50007504 58342088 66676672 87513132 100015008 116684176 175026264 200030016 233368352 350052528 466736704 700105056 1400210112