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146850 = 23521189
BaseRepresentation
bin100011110110100010
321110102220
4203312202
514144400
63051510
71151064
oct436642
9243386
10146850
11a0370
1270b96
1351ac2
143b734
152d7a0
hex23da2

146850 has 48 divisors (see below), whose sum is σ = 401760. Its totient is φ = 35200.

The previous prime is 146849. The next prime is 146857. The reversal of 146850 is 58641.

146850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146850.

It is not an unprimeable number, because it can be changed into a prime (146857) 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, 1606 + ... + 1694.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2146850 is an apocalyptic number.

146850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

146850 is an abundant number, since it is smaller than the sum of its proper divisors (254910).

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

146850 is a wasteful number, since it uses less digits than its factorization.

146850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 146850 is about 383.2101251272. The cubic root of 146850 is about 52.7583636402.

Subtracting from 146850 its reverse (58641), we obtain a square (88209 = 2972).

The spelling of 146850 in words is "one hundred forty-six thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 89 110 150 165 178 267 275 330 445 534 550 825 890 979 1335 1650 1958 2225 2670 2937 4450 4895 5874 6675 9790 13350 14685 24475 29370 48950 73425 146850