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1400272000 = 275387517
BaseRepresentation
bin101001101110110…
…0111010010000000
310121120212012001221
41103131213102000
510331432201000
6350540404424
746462054441
oct12335472200
93546765057
101400272000
11659465096
12330b46714
1319414551a
14d3d832c8
1582dea61a
hex53767480

1400272000 has 64 divisors (see below), whose sum is σ = 3481466040. Its totient is φ = 560102400.

The previous prime is 1400271991. The next prime is 1400272007. The reversal of 1400272000 is 2720041.

It can be written as a sum of positive squares in 4 ways, for example, as 127780416 + 1272491584 = 11304^2 + 35672^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1400272007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27759 + ... + 59758.

Almost surely, 21400272000 is an apocalyptic number.

1400272000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400272000 is an abundant number, since it is smaller than the sum of its proper divisors (2081194040).

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

1400272000 is an frugal number, since it uses more digits than its factorization.

1400272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87546 (or 87524 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 1400272000 is about 37420.2084441014. The cubic root of 1400272000 is about 1118.7613858167.

Adding to 1400272000 its reverse (2720041), we get a palindrome (1402992041).

The spelling of 1400272000 in words is "one billion, four hundred million, two hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 87517 175034 350068 437585 700136 875170 1400272 1750340 2187925 2800544 3500680 4375850 5601088 7001360 8751700 10939625 11202176 14002720 17503400 21879250 28005440 35006800 43758500 56010880 70013600 87517000 140027200 175034000 280054400 350068000 700136000 1400272000