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140160 = 273573
BaseRepresentation
bin100010001110000000
321010021010
4202032000
513441120
63000520
71122426
oct421600
9233233
10140160
1196339
1269140
134ba47
1439116
152b7e0
hex22380

140160 has 64 divisors (see below), whose sum is σ = 452880. Its totient is φ = 36864.

The previous prime is 140159. The next prime is 140167. The reversal of 140160 is 61041.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884 + ... + 1956.

2140160 is an apocalyptic number.

140160 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 140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226440).

140160 is an abundant number, since it is smaller than the sum of its proper divisors (312720).

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

140160 is an equidigital number, since it uses as much as digits as its factorization.

140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 140160 is about 374.3794866175. The cubic root of 140160 is about 51.9447144176.

It can be divided in two parts, 140 and 160, that added together give a triangular number (300 = T24).

The spelling of 140160 in words is "one hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1095 1168 1460 1752 1920 2190 2336 2920 3504 4380 4672 5840 7008 8760 9344 11680 14016 17520 23360 28032 35040 46720 70080 140160