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241542540 = 22335491911
BaseRepresentation
bin11100110010110…
…10010110001100
3121211111122002000
432121122112030
5443313330130
635545032300
75662035441
oct1631322614
9554448060
10241542540
11114387538
1268a85690
133b070ca5
14241179c8
1516313260
hexe65a58c

241542540 has 96 divisors (see below), whose sum is σ = 753822720. Its totient is φ = 64209600.

The previous prime is 241542523. The next prime is 241542589. The reversal of 241542540 is 45245142.

241542540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 264685 + ... + 265595.

It is an arithmetic number, because the mean of its divisors is an integer number (7852320).

Almost surely, 2241542540 is an apocalyptic number.

241542540 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 241542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376911360).

241542540 is an abundant number, since it is smaller than the sum of its proper divisors (512280180).

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

241542540 is a wasteful number, since it uses less digits than its factorization.

241542540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 241542540 is about 15541.6389097161. The cubic root of 241542540 is about 622.7750562662.

Adding to 241542540 its reverse (45245142), we get a palindrome (286787682).

It can be divided in two parts, 24 and 1542540, that added together give a square (1542564 = 12422).

The spelling of 241542540 in words is "two hundred forty-one million, five hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 491 540 911 982 1473 1822 1964 2455 2733 2946 3644 4419 4555 4910 5466 5892 7365 8199 8838 9110 9820 10932 13257 13665 14730 16398 17676 18220 22095 24597 26514 27330 29460 32796 40995 44190 49194 53028 54660 66285 81990 88380 98388 122985 132570 163980 245970 265140 447301 491940 894602 1341903 1789204 2236505 2683806 4025709 4473010 5367612 6709515 8051418 8946020 12077127 13419030 16102836 20128545 24154254 26838060 40257090 48308508 60385635 80514180 120771270 241542540