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1241008272 = 2432710311953
BaseRepresentation
bin100100111111000…
…0100100010010000
310012111011202022100
41021332010202100
510020144231042
6323051040400
742516252630
oct11176044220
93174152270
101241008272
11587575979
122a7740100
1316a151c2a
14bab666c0
1573e3b24c
hex49f84890

1241008272 has 120 divisors (see below), whose sum is σ = 4008128384. Its totient is φ = 351101952.

The previous prime is 1241008271. The next prime is 1241008277. The reversal of 1241008272 is 2728001421.

It is not an unprimeable number, because it can be changed into a prime (1241008271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97848 + ... + 109800.

Almost surely, 21241008272 is an apocalyptic number.

1241008272 is a gapful number since it is divisible by the number (12) 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 1241008272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004064192).

1241008272 is an abundant number, since it is smaller than the sum of its proper divisors (2767120112).

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

1241008272 is a wasteful number, since it uses less digits than its factorization.

1241008272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12077 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1241008272 is about 35227.9473145967. The cubic root of 1241008272 is about 1074.6281813443.

Adding to 1241008272 its reverse (2728001421), we get a palindrome (3969009693).

The spelling of 1241008272 in words is "one billion, two hundred forty-one million, eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 252 309 336 412 504 618 721 824 927 1008 1236 1442 1648 1854 2163 2472 2884 3708 4326 4944 5768 6489 7416 8652 11536 11953 12978 14832 17304 23906 25956 34608 35859 47812 51912 71718 83671 95624 103824 107577 143436 167342 191248 215154 251013 286872 334684 430308 502026 573744 669368 753039 860616 1004052 1231159 1338736 1506078 1721232 2008104 2462318 3012156 3693477 4016208 4924636 6024312 7386954 8618113 9849272 11080431 12048624 14773908 17236226 19698544 22160862 25854339 29547816 34472452 44321724 51708678 59095632 68944904 77563017 88643448 103417356 137889808 155126034 177286896 206834712 310252068 413669424 620504136 1241008272