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241141020 = 223547233367
BaseRepresentation
bin11100101111110…
…00010100011100
3121210202020021220
432113320110130
5443213003040
635532253340
75655444021
oct1627702434
9553666256
10241141020
111141328aa
1268911250
133ac602c3
1424051548
15162842d0
hexe5f851c

241141020 has 96 divisors (see below), whose sum is σ = 694407168. Its totient is φ = 62495232.

The previous prime is 241141009. The next prime is 241141031. The reversal of 241141020 is 20141142.

It is an interprime number because it is at equal distance from previous prime (241141009) and next prime (241141031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656877 + ... + 657243.

It is an arithmetic number, because the mean of its divisors is an integer number (7233408).

Almost surely, 2241141020 is an apocalyptic number.

241141020 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 241141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347203584).

241141020 is an abundant number, since it is smaller than the sum of its proper divisors (453266148).

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

241141020 is a wasteful number, since it uses less digits than its factorization.

241141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 241141020 is about 15528.7159804022. The cubic root of 241141020 is about 622.4297819218.

Adding to 241141020 its reverse (20141142), we get a palindrome (261282162).

The spelling of 241141020 in words is "two hundred forty-one million, one hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 233 235 282 367 466 470 564 699 705 734 932 940 1101 1165 1398 1410 1468 1835 2202 2330 2796 2820 3495 3670 4404 4660 5505 6990 7340 10951 11010 13980 17249 21902 22020 32853 34498 43804 51747 54755 65706 68996 85511 86245 103494 109510 131412 164265 171022 172490 206988 219020 256533 258735 328530 342044 344980 427555 513066 517470 657060 855110 1026132 1034940 1282665 1710220 2565330 4019017 5130660 8038034 12057051 16076068 20095085 24114102 40190170 48228204 60285255 80380340 120570510 241141020