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241020120 = 2335111571163
BaseRepresentation
bin11100101110110…
…10110011011000
3121210112002110010
432113122303120
5443200120440
635525521520
75654431365
oct1627326330
9553462403
10241020120
1111405aa90
12688732a0
133ac1a273
142401d46c
151625d580
hexe5dacd8

241020120 has 128 divisors (see below), whose sum is σ = 794499840. Its totient is φ = 58007040.

The previous prime is 241020107. The next prime is 241020161. The reversal of 241020120 is 21020142.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 241020096 and 241020105.

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, 206659 + ... + 207821.

It is an arithmetic number, because the mean of its divisors is an integer number (6207030).

Almost surely, 2241020120 is an apocalyptic number.

241020120 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 241020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397249920).

241020120 is an abundant number, since it is smaller than the sum of its proper divisors (553479720).

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

241020120 is a wasteful number, since it uses less digits than its factorization.

241020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 241020120 is about 15524.8227043017. The cubic root of 241020120 is about 622.3257427440.

Adding to 241020120 its reverse (21020142), we get a palindrome (262040262).

The spelling of 241020120 in words is "two hundred forty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 157 165 220 264 314 330 440 471 628 660 785 942 1163 1256 1320 1570 1727 1884 2326 2355 3140 3454 3489 3768 4652 4710 5181 5815 6280 6908 6978 8635 9304 9420 10362 11630 12793 13816 13956 17270 17445 18840 20724 23260 25586 25905 27912 34540 34890 38379 41448 46520 51172 51810 63965 69080 69780 76758 102344 103620 127930 139560 153516 182591 191895 207240 255860 307032 365182 383790 511720 547773 730364 767580 912955 1095546 1460728 1535160 1825910 2008501 2191092 2738865 3651820 4017002 4382184 5477730 6025503 7303640 8034004 10042505 10955460 12051006 16068008 20085010 21910920 24102012 30127515 40170020 48204024 60255030 80340040 120510060 241020120