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1296306032 = 247172291381
BaseRepresentation
bin100110101000100…
…0000111101110000
310100100020011120112
41031101000331300
510123323243112
6332344200452
744060263610
oct11521007560
93310204515
101296306032
116058049aa
12302169128
131787437b8
14c423ca40
1578c10a22
hex4d440f70

1296306032 has 120 divisors (see below), whose sum is σ = 3156598560. Its totient is φ = 504483840.

The previous prime is 1296306029. The next prime is 1296306047. The reversal of 1296306032 is 2306036921.

It is a self number, because there is not a number n which added to its sum of digits gives 1296306032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937982 + ... + 939362.

It is an arithmetic number, because the mean of its divisors is an integer number (26304988).

Almost surely, 21296306032 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 1296306032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578299280).

1296306032 is an abundant number, since it is smaller than the sum of its proper divisors (1860292528).

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

1296306032 is a wasteful number, since it uses less digits than its factorization.

1296306032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 1296306032 is about 36004.2501935535. The cubic root of 1296306032 is about 1090.3581663912.

The spelling of 1296306032 in words is "one billion, two hundred ninety-six million, three hundred six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 289 406 464 476 493 578 812 952 986 1156 1381 1624 1904 1972 2023 2312 2762 3248 3451 3944 4046 4624 5524 6902 7888 8092 8381 9667 11048 13804 16184 16762 19334 22096 23477 27608 32368 33524 38668 40049 46954 55216 58667 67048 77336 80098 93908 117334 134096 154672 160196 164339 187816 234668 280343 320392 328678 375632 399109 469336 560686 640784 657356 680833 798218 938672 1121372 1314712 1361666 1596436 2242744 2629424 2723332 2793763 3192872 4485488 4765831 5446664 5587526 6385744 9531662 10893328 11175052 11574161 19063324 22350104 23148322 38126648 44700208 46296644 76253296 81019127 92593288 162038254 185186576 324076508 648153016 1296306032