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1245042032 = 241319476703
BaseRepresentation
bin100101000110101…
…1101010101110000
310012202202200120212
41022031131111300
510022212321112
6323313323252
742565453103
oct11215352560
93182680525
101245042032
11589880563
122a8b66528
1316ac34c80
14bb4d673a
1574486522
hex4a35d570

1245042032 has 80 divisors (see below), whose sum is σ = 2793154560. Its totient is φ = 532728576.

The previous prime is 1245042031. The next prime is 1245042037. The reversal of 1245042032 is 2302405421.

It is a happy number.

It is a super-2 number, since 2×12450420322 = 3100259322893378048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1245041989 and 1245042007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1245042031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182393 + ... + 189095.

It is an arithmetic number, because the mean of its divisors is an integer number (34914432).

Almost surely, 21245042032 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 1245042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396577280).

1245042032 is an abundant number, since it is smaller than the sum of its proper divisors (1548112528).

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

1245042032 is a wasteful number, since it uses less digits than its factorization.

1245042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1245042032 is about 35285.1531383952. The cubic root of 1245042032 is about 1075.7912420979.

Adding to 1245042032 its reverse (2302405421), we get a palindrome (3547447453).

The spelling of 1245042032 in words is "one billion, two hundred forty-five million, forty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 47 52 76 94 104 152 188 208 247 304 376 494 611 752 893 988 1222 1786 1976 2444 3572 3952 4888 6703 7144 9776 11609 13406 14288 23218 26812 46436 53624 87139 92872 107248 127357 174278 185744 254714 315041 348556 509428 630082 697112 1018856 1260164 1394224 1655641 2037712 2520328 3311282 4095533 5040656 5985779 6622564 8191066 11971558 13245128 16382132 23943116 26490256 32764264 47886232 65528528 77815127 95772464 155630254 311260508 622521016 1245042032