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1400075120 = 245171029467
BaseRepresentation
bin101001101110011…
…0111001101110000
310121120111012000002
41103130313031300
510331404400440
6350532245132
746460304443
oct12334671560
93546435002
101400075120
11659340184
12330a707a8
131940a6a22
14d3d3165a
1582dac115
hex53737370

1400075120 has 40 divisors (see below), whose sum is σ = 3446658864. Its totient is φ = 527086592.

The previous prime is 1400075107. The next prime is 1400075123. The reversal of 1400075120 is 215700041.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×14000751203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1400075092 and 1400075101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400075123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 513374 + ... + 516093.

Almost surely, 21400075120 is an apocalyptic number.

1400075120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400075120 is an abundant number, since it is smaller than the sum of its proper divisors (2046583744).

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

1400075120 is a wasteful number, since it uses less digits than its factorization.

1400075120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029497 (or 1029491 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1400075120 is about 37417.5776874987. The cubic root of 1400075120 is about 1118.7089502743.

Adding to 1400075120 its reverse (215700041), we get a palindrome (1615775161).

The spelling of 1400075120 in words is "one billion, four hundred million, seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1029467 2058934 4117868 5147335 8235736 10294670 16471472 17500939 20589340 35001878 41178680 70003756 82357360 87504695 140007512 175009390 280015024 350018780 700037560 1400075120