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140211120 = 2435783459
BaseRepresentation
bin10000101101101…
…11001110110000
3100202211110111110
420112313032300
5241343223440
621525113320
73321526530
oct1026671660
9322743443
10140211120
1172166765
123ab58840
132308247a
141489b4c0
15c499080
hex85b73b0

140211120 has 80 divisors (see below), whose sum is σ = 496753920. Its totient is φ = 32047872.

The previous prime is 140211083. The next prime is 140211157. The reversal of 140211120 is 21112041.

It is a happy number.

140211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140211083) and next prime (140211157).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 140211096 and 140211105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40050 + ... + 43409.

It is an arithmetic number, because the mean of its divisors is an integer number (6209424).

Almost surely, 2140211120 is an apocalyptic number.

140211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140211120 is an abundant number, since it is smaller than the sum of its proper divisors (356542800).

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

140211120 is a wasteful number, since it uses less digits than its factorization.

140211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83482 (or 83476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 140211120 is about 11841.0776536597. The cubic root of 140211120 is about 519.5102884644.

Adding to 140211120 its reverse (21112041), we get a palindrome (161323161).

The spelling of 140211120 in words is "one hundred forty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 83459 166918 250377 333836 417295 500754 584213 667672 834590 1001508 1168426 1251885 1335344 1669180 1752639 2003016 2336852 2503770 2921065 3338360 3505278 4006032 4673704 5007540 5842130 6676720 7010556 8763195 9347408 10015080 11684260 14021112 17526390 20030160 23368520 28042224 35052780 46737040 70105560 140211120