Search a number
-
+
141120320 = 2651147853
BaseRepresentation
bin10000110100101…
…01001101000000
3100211112122200112
420122111031000
5242111322240
622000410452
73332334335
oct1032251500
9324478615
10141120320
1172727870
123b316a28
1323310263
1414a5698c
15c5c8665
hex8695340

141120320 has 112 divisors (see below), whose sum is σ = 374830848. Its totient is φ = 50165760.

The previous prime is 141120313. The next prime is 141120323. The reversal of 141120320 is 23021141.

It is a junction number, because it is equal to n+sod(n) for n = 141120295 and 141120304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141120323) 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, 165014 + ... + 165866.

It is an arithmetic number, because the mean of its divisors is an integer number (3346704).

Almost surely, 2141120320 is an apocalyptic number.

141120320 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 141120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187415424).

141120320 is an abundant number, since it is smaller than the sum of its proper divisors (233710528).

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

141120320 is a wasteful number, since it uses less digits than its factorization.

141120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 918 counting only the distinct ones).

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

The square root of 141120320 is about 11879.4073926270. The cubic root of 141120320 is about 520.6307926848.

Adding to 141120320 its reverse (23021141), we get a palindrome (164141461).

It can be divided in two parts, 141120 and 320, that multiplied together give a square (45158400 = 67202).

The spelling of 141120320 in words is "one hundred forty-one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 160 176 188 220 235 320 352 376 440 470 517 704 752 853 880 940 1034 1504 1706 1760 1880 2068 2585 3008 3412 3520 3760 4136 4265 5170 6824 7520 8272 8530 9383 10340 13648 15040 16544 17060 18766 20680 27296 33088 34120 37532 40091 41360 46915 54592 68240 75064 80182 82720 93830 136480 150128 160364 165440 187660 200455 272960 300256 320728 375320 400910 441001 600512 641456 750640 801820 882002 1282912 1501280 1603640 1764004 2205005 2565824 3002560 3207280 3528008 4410010 6414560 7056016 8820020 12829120 14112032 17640040 28224064 35280080 70560160 141120320