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146160 = 24325729
BaseRepresentation
bin100011101011110000
321102111100
4203223300
514134120
63044400
71146060
oct435360
9242440
10146160
119a8a3
1270700
13516b1
143b3a0
152d490
hex23af0

146160 has 120 divisors (see below), whose sum is σ = 580320. Its totient is φ = 32256.

The previous prime is 146141. The next prime is 146161. The reversal of 146160 is 61641.

146160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (146161) 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, 5026 + ... + 5054.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2146160 is an apocalyptic number.

146160 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 146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

146160 is an abundant number, since it is smaller than the sum of its proper divisors (434160).

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

146160 is a wasteful number, since it uses less digits than its factorization.

146160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 146160 is about 382.3087757298. The cubic root of 146160 is about 52.6756024646.

It can be divided in two parts, 1461 and 60, that added together give a square (1521 = 392).

The spelling of 146160 in words is "one hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 29 30 35 36 40 42 45 48 56 58 60 63 70 72 80 84 87 90 105 112 116 120 126 140 144 145 168 174 180 203 210 232 240 252 261 280 290 315 336 348 360 406 420 435 464 504 522 560 580 609 630 696 720 812 840 870 1008 1015 1044 1160 1218 1260 1305 1392 1624 1680 1740 1827 2030 2088 2320 2436 2520 2610 3045 3248 3480 3654 4060 4176 4872 5040 5220 6090 6960 7308 8120 9135 9744 10440 12180 14616 16240 18270 20880 24360 29232 36540 48720 73080 146160