Search a number
-
+
146242120 = 2355961967
BaseRepresentation
bin10001011011101…
…11101001001000
3101012011212110211
420231313221020
5244414221440
622302250504
73424015603
oct1055675110
9335155424
10146242120
1175605962
1240b86a34
13243b45cb
14155cb33a
15cc8aeea
hex8b77a48

146242120 has 32 divisors (see below), whose sum is σ = 334627200. Its totient is φ = 57504448.

The previous prime is 146242111. The next prime is 146242123. The reversal of 146242120 is 21242641.

It is a happy number.

146242120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146242091 and 146242100.

It is not an unprimeable number, because it can be changed into a prime (146242123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28624 + ... + 33343.

It is an arithmetic number, because the mean of its divisors is an integer number (10457100).

Almost surely, 2146242120 is an apocalyptic number.

146242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146242120 is an abundant number, since it is smaller than the sum of its proper divisors (188385080).

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

146242120 is a wasteful number, since it uses less digits than its factorization.

146242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62037 (or 62033 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 146242120 is about 12093.0608201563. The cubic root of 146242120 is about 526.8546588052.

Adding to 146242120 its reverse (21242641), we get a palindrome (167484761).

The spelling of 146242120 in words is "one hundred forty-six million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 61967 123934 247868 309835 495736 619670 1239340 2478680 3656053 7312106 14624212 18280265 29248424 36560530 73121060 146242120