[go: up one dir, main page]

Search a number
-
+
241215100 = 22527509677
BaseRepresentation
bin11100110000010…
…10011001111100
3121210212222220121
432120022121330
5443222340400
635534024324
75656203010
oct1630123174
9553788817
10241215100
11114183525
12689480a4
133ac87c39
1424070540
151629b21a
hexe60a67c

241215100 has 72 divisors (see below), whose sum is σ = 600274080. Its totient is φ = 82417920.

The previous prime is 241215097. The next prime is 241215109. The reversal of 241215100 is 1512142.

241215100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241215109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355962 + ... + 356638.

It is an arithmetic number, because the mean of its divisors is an integer number (8337140).

Almost surely, 2241215100 is an apocalyptic number.

241215100 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 241215100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300137040).

241215100 is an abundant number, since it is smaller than the sum of its proper divisors (359058980).

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

241215100 is a wasteful number, since it uses less digits than its factorization.

241215100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 241215100 is about 15531.1010556238. The cubic root of 241215100 is about 622.4935134779.

Adding to 241215100 its reverse (1512142), we get a palindrome (242727242).

The spelling of 241215100 in words is "two hundred forty-one million, two hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 509 677 700 1018 1354 2036 2545 2708 3385 3563 4739 5090 6770 7126 9478 10180 12725 13540 14252 16925 17815 18956 23695 25450 33850 35630 47390 50900 67700 71260 89075 94780 118475 178150 236950 344593 356300 473900 689186 1378372 1722965 2412151 3445930 4824302 6891860 8614825 9648604 12060755 17229650 24121510 34459300 48243020 60303775 120607550 241215100