Search a number
-
+
235030120 = 235133591259
BaseRepresentation
bin11100000001001…
…00011001101000
3121101020202201021
432000210121220
5440131430440
635153302224
75552503003
oct1600443150
9541222637
10235030120
11110739676
1266864974
13399009a0
142330053a
151597884a
hexe024668

235030120 has 64 divisors (see below), whose sum is σ = 571536000. Its totient is φ = 86469888.

The previous prime is 235030111. The next prime is 235030139. The reversal of 235030120 is 21030532.

235030120 is digitally balanced in base 3, 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 = 235030094 and 235030103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186051 + ... + 187309.

It is an arithmetic number, because the mean of its divisors is an integer number (8930250).

Almost surely, 2235030120 is an apocalyptic number.

235030120 is a gapful number since it is divisible by the number (20) 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 235030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285768000).

235030120 is an abundant number, since it is smaller than the sum of its proper divisors (336505880).

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

235030120 is a wasteful number, since it uses less digits than its factorization.

235030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 235030120 is about 15330.6920913571. The cubic root of 235030120 is about 617.1269427889.

Adding to 235030120 its reverse (21030532), we get a palindrome (256060652).

The spelling of 235030120 in words is "two hundred thirty-five million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 359 520 718 1259 1436 1795 2518 2872 3590 4667 5036 6295 7180 9334 10072 12590 14360 16367 18668 23335 25180 32734 37336 46670 50360 65468 81835 93340 130936 163670 186680 327340 451981 654680 903962 1807924 2259905 3615848 4519810 5875753 9039620 11751506 18079240 23503012 29378765 47006024 58757530 117515060 235030120