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140549200 = 245211171879
BaseRepresentation
bin10000110000010…
…01110001010000
3100210110122020221
420120021301100
5241440033300
621540242424
73324435301
oct1030116120
9323418227
10140549200
1172377770
123b0a0414
132317030c
14149487a8
15c51431a
hex8609c50

140549200 has 120 divisors (see below), whose sum is σ = 390242880. Its totient is φ = 48076800.

The previous prime is 140549191. The next prime is 140549203. The reversal of 140549200 is 2945041.

140549200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140549203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73861 + ... + 75739.

It is an arithmetic number, because the mean of its divisors is an integer number (3252024).

Almost surely, 2140549200 is an apocalyptic number.

140549200 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 140549200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195121440).

140549200 is an abundant number, since it is smaller than the sum of its proper divisors (249693680).

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

140549200 is a wasteful number, since it uses less digits than its factorization.

140549200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 140549200 is about 11855.3447862135. The cubic root of 140549200 is about 519.9275046865.

It can be divided in two parts, 1405 and 49200, that added together give a palindrome (50605).

The spelling of 140549200 in words is "one hundred forty million, five hundred forty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 1879 2200 2992 3400 3740 3758 4400 4675 6800 7480 7516 9350 9395 14960 15032 18700 18790 20669 30064 31943 37400 37580 41338 46975 63886 74800 75160 82676 93950 103345 127772 150320 159715 165352 187900 206690 255544 319430 330704 351373 375800 413380 511088 516725 638860 702746 751600 798575 826760 1033450 1277720 1405492 1597150 1653520 1756865 2066900 2555440 2810984 3194300 3513730 4133800 5621968 6388600 7027460 8267600 8784325 12777200 14054920 17568650 28109840 35137300 70274600 140549200