Search a number
-
+
1241215104 = 2734797709
BaseRepresentation
bin100100111111011…
…0111000010000000
310012111120021000210
41021332313002000
510020222340404
6323055314120
742521103633
oct11176670200
93174507023
101241215104
115876a7308
122a781b940
1316a1c510c
14babbbc1a
1573e7c689
hex49fb7080

1241215104 has 128 divisors (see below), whose sum is σ = 3406636800. Its totient is φ = 400195584.

The previous prime is 1241215049. The next prime is 1241215121. The reversal of 1241215104 is 4015121421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12412151042 = 3081229868795461632, which contains 22 as substring.

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, 1750302 + ... + 1751010.

It is an arithmetic number, because the mean of its divisors is an integer number (26614350).

Almost surely, 21241215104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703318400).

1241215104 is an abundant number, since it is smaller than the sum of its proper divisors (2165421696).

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

1241215104 is an equidigital number, since it uses as much as digits as its factorization.

1241215104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1241215104 is about 35230.8828160749. The cubic root of 1241215104 is about 1074.6878788108.

Adding to 1241215104 its reverse (4015121421), we get a palindrome (5256336525).

The spelling of 1241215104 in words is "one billion, two hundred forty-one million, two hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 97 128 141 188 192 194 282 291 376 384 388 564 582 709 752 776 1128 1164 1418 1504 1552 2127 2256 2328 2836 3008 3104 4254 4512 4559 4656 5672 6016 6208 8508 9024 9118 9312 11344 12416 13677 17016 18048 18236 18624 22688 27354 33323 34032 36472 37248 45376 54708 66646 68064 68773 72944 90752 99969 109416 133292 136128 137546 145888 199938 206319 218832 266584 272256 275092 291776 399876 412638 437664 533168 550184 583552 799752 825276 875328 1066336 1100368 1599504 1650552 1750656 2132672 2200736 3199008 3232331 3301104 4265344 4401472 6398016 6464662 6602208 8802944 9696993 12796032 12929324 13204416 19393986 25858648 26408832 38787972 51717296 77575944 103434592 155151888 206869184 310303776 413738368 620607552 1241215104