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16140240 = 2432529773
BaseRepresentation
bin111101100100…
…011111010000
31010101000020200
4331210133100
513112441430
61333535200
7254122044
oct75443720
933330220
1016140240
119124446
1254a4500
13346164c
142202024
15163c460
hexf647d0

16140240 has 120 divisors (see below), whose sum is σ = 56145960. Its totient is φ = 4150272.

The previous prime is 16140221. The next prime is 16140247. The reversal of 16140240 is 4204161.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 16064064 = 276^2 + 4008^2 .

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 (16140247) 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, 20494 + ... + 21266.

It is an arithmetic number, because the mean of its divisors is an integer number (467883).

Almost surely, 216140240 is an apocalyptic number.

16140240 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 16140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28072980).

16140240 is an abundant number, since it is smaller than the sum of its proper divisors (40005720).

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

16140240 is a wasteful number, since it uses less digits than its factorization.

16140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16140240 is about 4017.4917548142. The cubic root of 16140240 is about 252.7182832875.

It can be divided in two parts, 161 and 40240, that added together give a square (40401 = 2012).

The spelling of 16140240 in words is "sixteen million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 773 870 1044 1160 1305 1392 1546 1740 2088 2319 2320 2610 3092 3480 3865 4176 4638 5220 6184 6957 6960 7730 9276 10440 11595 12368 13914 15460 18552 20880 22417 23190 27828 30920 34785 37104 44834 46380 55656 61840 67251 69570 89668 92760 111312 112085 134502 139140 179336 185520 201753 224170 269004 278280 336255 358672 403506 448340 538008 556560 672510 807012 896680 1008765 1076016 1345020 1614024 1793360 2017530 2690040 3228048 4035060 5380080 8070120 16140240