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241320020 = 225291373037
BaseRepresentation
bin11100110001001…
…00000001010100
3121211002022211112
432120210001110
5443234220040
635540154152
75660120624
oct1630440124
9554068745
10241320020
11114245337
1268998958
133acc3916
142409a884
15162bc365
hexe624054

241320020 has 48 divisors (see below), whose sum is σ = 528247440. Its totient is φ = 92488704.

The previous prime is 241320019. The next prime is 241320041. The reversal of 241320020 is 20023142.

It can be written as a sum of positive squares in 8 ways, for example, as 7474756 + 233845264 = 2734^2 + 15292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241319977 and 241320004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77942 + ... + 80978.

It is an arithmetic number, because the mean of its divisors is an integer number (11005155).

Almost surely, 2241320020 is an apocalyptic number.

241320020 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 241320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264123720).

241320020 is an abundant number, since it is smaller than the sum of its proper divisors (286927420).

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

241320020 is a wasteful number, since it uses less digits than its factorization.

241320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 241320020 is about 15534.4784270345. The cubic root of 241320020 is about 622.5837545839.

Adding to 241320020 its reverse (20023142), we get a palindrome (261343162).

The spelling of 241320020 in words is "two hundred forty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 137 145 274 290 548 580 685 1370 2740 3037 3973 6074 7946 12148 15185 15892 19865 30370 39730 60740 79460 88073 176146 352292 416069 440365 832138 880730 1664276 1761460 2080345 4160690 8321380 12066001 24132002 48264004 60330005 120660010 241320020