Search a number
-
+
1400271200 = 255211171567
BaseRepresentation
bin101001101110110…
…0111000101100000
310121120212010222022
41103131213011200
510331432134300
6350540401012
746462052216
oct12335470540
93546763868
101400271200
11659464529
12330b46168
13194145053
14d3d82cb6
1582dea285
hex53767160

1400271200 has 72 divisors (see below), whose sum is σ = 3423655872. Its totient is φ = 559249920.

The previous prime is 1400271199. The next prime is 1400271203. The reversal of 1400271200 is 21720041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400271203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892817 + ... + 894383.

It is an arithmetic number, because the mean of its divisors is an integer number (47550776).

Almost surely, 21400271200 is an apocalyptic number.

1400271200 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 1400271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711827936).

1400271200 is an abundant number, since it is smaller than the sum of its proper divisors (2023384672).

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

1400271200 is a wasteful number, since it uses less digits than its factorization.

1400271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 1400271200 is about 37420.1977546886. The cubic root of 1400271200 is about 1118.7611727607.

Adding to 1400271200 its reverse (21720041), we get a palindrome (1421991241).

The spelling of 1400271200 in words is "one billion, four hundred million, two hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1117 1567 2234 3134 4468 5585 6268 7835 8936 11170 12536 15670 17872 22340 25072 27925 31340 35744 39175 44680 50144 55850 62680 78350 89360 111700 125360 156700 178720 223400 250720 313400 446800 626800 893600 1253600 1750339 3500678 7001356 8751695 14002712 17503390 28005424 35006780 43758475 56010848 70013560 87516950 140027120 175033900 280054240 350067800 700135600 1400271200