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1400053200 = 2435271312821
BaseRepresentation
bin101001101110011…
…0001110111010000
310121120110001221020
41103130301313100
510331403200300
6350531555440
746460153520
oct12334616720
93546401836
101400053200
11659325767
12330a5bb80
13194099a60
14d3d27680
1582da58a0
hex53731dd0

1400053200 has 240 divisors, whose sum is σ = 5520230016. Its totient is φ = 295372800.

The previous prime is 1400053181. The next prime is 1400053201. The reversal of 1400053200 is 23500041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1400053200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400053201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102790 + ... + 115610.

Almost surely, 21400053200 is an apocalyptic number.

1400053200 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 1400053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760115008).

1400053200 is an abundant number, since it is smaller than the sum of its proper divisors (4120176816).

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

1400053200 is a wasteful number, since it uses less digits than its factorization.

1400053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12862 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1400053200 is about 37417.2847758893. The cubic root of 1400053200 is about 1118.7031119618.

Adding to 1400053200 its reverse (23500041), we get a palindrome (1423553241).

The spelling of 1400053200 in words is "one billion, four hundred million, fifty-three thousand, two hundred".