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146120 = 23513281
BaseRepresentation
bin100011101011001000
321102102212
4203223020
514133440
63044252
71146002
oct435310
9242385
10146120
119a867
1270688
1351680
143b372
152d465
hex23ac8

146120 has 32 divisors (see below), whose sum is σ = 355320. Its totient is φ = 53760.

The previous prime is 146117. The next prime is 146141. The reversal of 146120 is 21641.

It can be written as a sum of positive squares in 4 ways, for example, as 103684 + 42436 = 322^2 + 206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146095 and 146104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380 + ... + 660.

2146120 is an apocalyptic number.

146120 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 146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177660).

146120 is an abundant number, since it is smaller than the sum of its proper divisors (209200).

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

146120 is a wasteful number, since it uses less digits than its factorization.

146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 146120 is about 382.2564584150. The cubic root of 146120 is about 52.6707967350.

Adding to 146120 its reverse (21641), we get a palindrome (167761).

The spelling of 146120 in words is "one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 281 520 562 1124 1405 2248 2810 3653 5620 7306 11240 14612 18265 29224 36530 73060 146120