[go: up one dir, main page]

Search a number
-
+
235025120 = 25511413257
BaseRepresentation
bin11100000001000…
…11001011100000
3121101020111212002
432000203023200
5440131300440
635153223132
75552452301
oct1600431340
9541214762
10235025120
11110735940
1266861aa8
13398cb625
14232dc7a8
1515977115
hexe0232e0

235025120 has 96 divisors (see below), whose sum is σ = 620688096. Its totient is φ = 83353600.

The previous prime is 235025113. The next prime is 235025129. The reversal of 235025120 is 21520532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 235025092 and 235025101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235025129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70532 + ... + 73788.

It is an arithmetic number, because the mean of its divisors is an integer number (6465501).

Almost surely, 2235025120 is an apocalyptic number.

235025120 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 235025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310344048).

235025120 is an abundant number, since it is smaller than the sum of its proper divisors (385662976).

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

235025120 is a wasteful number, since it uses less digits than its factorization.

235025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 235025120 is about 15330.5290189217. The cubic root of 235025120 is about 617.1225665319.

Adding to 235025120 its reverse (21520532), we get a palindrome (256545652).

The spelling of 235025120 in words is "two hundred thirty-five million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 205 220 328 352 410 440 451 656 820 880 902 1312 1640 1760 1804 2255 3257 3280 3608 4510 6514 6560 7216 9020 13028 14432 16285 18040 26056 32570 35827 36080 52112 65140 71654 72160 104224 130280 133537 143308 179135 260560 267074 286616 358270 521120 534148 573232 667685 716540 1068296 1146464 1335370 1433080 1468907 2136592 2670740 2866160 2937814 4273184 5341480 5732320 5875628 7344535 10682960 11751256 14689070 21365920 23502512 29378140 47005024 58756280 117512560 235025120