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140231400 = 233521912301
BaseRepresentation
bin10000101101111…
…00001011101000
3100202212111022120
420112330023220
5241344401100
621525351240
73321642621
oct1026741350
9322774276
10140231400
117217aa21
123ab68520
132308b77a
14148a4a48
15c4a00a0
hex85bc2e8

140231400 has 96 divisors (see below), whose sum is σ = 457634400. Its totient is φ = 35424000.

The previous prime is 140231387. The next prime is 140231407. The reversal of 140231400 is 4132041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 140231400.

It is not an unprimeable number, because it can be changed into a prime (140231407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5250 + ... + 17550.

It is an arithmetic number, because the mean of its divisors is an integer number (4767025).

Almost surely, 2140231400 is an apocalyptic number.

140231400 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 140231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228817200).

140231400 is an abundant number, since it is smaller than the sum of its proper divisors (317403000).

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

140231400 is a wasteful number, since it uses less digits than its factorization.

140231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 140231400 is about 11841.9339636733. The cubic root of 140231400 is about 519.5353344111.

Adding to 140231400 its reverse (4132041), we get a palindrome (144363441).

It can be divided in two parts, 140 and 231400, that added together give a triangular number (231540 = T680).

The spelling of 140231400 in words is "one hundred forty million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 12301 24602 36903 49204 61505 73806 98408 123010 147612 184515 233719 246020 295224 307525 369030 467438 492040 615050 701157 738060 922575 934876 1168595 1230100 1402314 1476120 1845150 1869752 2337190 2460200 2804628 3505785 3690300 4674380 5609256 5842975 7011570 7380600 9348760 11685950 14023140 17528925 23371900 28046280 35057850 46743800 70115700 140231400