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241216020 = 2232519251281
BaseRepresentation
bin11100110000010…
…10101000010100
3121210220001011200
432120022220110
5443222403040
635534032500
75656205463
oct1630125024
9553801150
10241216020
11114184191
1268948730
133ac88496
14240709da
151629b630
hexe60aa14

241216020 has 144 divisors (see below), whose sum is σ = 776018880. Its totient is φ = 60480000.

The previous prime is 241215979. The next prime is 241216033. The reversal of 241216020 is 20612142.

241216020 is a `hidden beast` number, since 2 + 41 + 21 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241215984 and 241216002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858280 + ... + 858560.

It is an arithmetic number, because the mean of its divisors is an integer number (5389020).

Almost surely, 2241216020 is an apocalyptic number.

241216020 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 241216020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388009440).

241216020 is an abundant number, since it is smaller than the sum of its proper divisors (534802860).

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

241216020 is a wasteful number, since it uses less digits than its factorization.

241216020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241216020 is about 15531.1306735859. The cubic root of 241216020 is about 622.4943048785.

Adding to 241216020 its reverse (20612142), we get a palindrome (261828162).

The spelling of 241216020 in words is "two hundred forty-one million, two hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 251 281 285 342 380 502 562 570 684 753 843 855 1004 1124 1140 1255 1405 1506 1686 1710 2259 2510 2529 2810 3012 3372 3420 3765 4215 4518 4769 5020 5058 5339 5620 7530 8430 9036 9538 10116 10678 11295 12645 14307 15060 16017 16860 19076 21356 22590 23845 25290 26695 28614 32034 42921 45180 47690 48051 50580 53390 57228 64068 70531 71535 80085 85842 95380 96102 106780 141062 143070 160170 171684 192204 211593 214605 240255 282124 286140 320340 352655 423186 429210 480510 634779 705310 846372 858420 961020 1057965 1269558 1340089 1410620 2115930 2539116 2680178 3173895 4020267 4231860 5360356 6347790 6700445 8040534 12060801 12695580 13400890 16081068 20101335 24121602 26801780 40202670 48243204 60304005 80405340 120608010 241216020