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140081400 = 2334528647
BaseRepresentation
bin10000101100101…
…11100011111000
3100202120212120000
420112113203320
5241330101100
621522233000
73320446404
oct1026274370
9322525500
10140081400
1172088258
123aab5760
1323038404
1414866104
15c470900
hex85978f8

140081400 has 120 divisors (see below), whose sum is σ = 486579720. Its totient is φ = 37350720.

The previous prime is 140081353. The next prime is 140081407. The reversal of 140081400 is 4180041.

140081400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140081407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11877 + ... + 20523.

It is an arithmetic number, because the mean of its divisors is an integer number (4054831).

Almost surely, 2140081400 is an apocalyptic number.

140081400 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 140081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243289860).

140081400 is an abundant number, since it is smaller than the sum of its proper divisors (346498320).

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

140081400 is a wasteful number, since it uses less digits than its factorization.

140081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140081400 is about 11835.5988441650. The cubic root of 140081400 is about 519.3500261682.

The spelling of 140081400 in words is "one hundred forty million, eighty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 8647 16200 17294 25941 34588 43235 51882 69176 77823 86470 103764 129705 155646 172940 207528 216175 233469 259410 311292 345880 389115 432350 466938 518820 622584 648525 700407 778230 864700 933876 1037640 1167345 1297050 1400814 1556460 1729400 1867752 1945575 2334690 2594100 2801628 3112920 3502035 3891150 4669380 5188200 5603256 5836725 7004070 7782300 9338760 11673450 14008140 15564600 17510175 23346900 28016280 35020350 46693800 70040700 140081400