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1400012400 = 243521166677
BaseRepresentation
bin101001101110010…
…0111111001110000
310121120100222222010
41103130213321300
510331400344100
6350531042520
746456623543
oct12334477160
93546328863
101400012400
116592a8046
12330a40440
13194084307
14d3d1685a
1582d98750
hex53727e70

1400012400 has 60 divisors (see below), whose sum is σ = 4484710232. Its totient is φ = 373336320.

The previous prime is 1400012389. The next prime is 1400012413. The reversal of 1400012400 is 42100041.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582139 + ... + 584538.

Almost surely, 21400012400 is an apocalyptic number.

1400012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400012400 is an abundant number, since it is smaller than the sum of its proper divisors (3084697832).

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

1400012400 is a wasteful number, since it uses less digits than its factorization.

1400012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166698 (or 1166687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1400012400 is about 37416.7395693425. The cubic root of 1400012400 is about 1118.6922448676.

Adding to 1400012400 its reverse (42100041), we get a palindrome (1442112441).

The spelling of 1400012400 in words is "one billion, four hundred million, twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1166677 2333354 3500031 4666708 5833385 7000062 9333416 11666770 14000124 17500155 18666832 23333540 28000248 29166925 35000310 46667080 56000496 58333850 70000620 87500775 93334160 116667700 140001240 175001550 233335400 280002480 350003100 466670800 700006200 1400012400