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1029797064 = 233771829
BaseRepresentation
bin111101011000010…
…111010011001000
32122202202010000000
4331120113103020
54102112001224
6250104043000
734343062542
oct7530272310
92582663000
101029797064
1148932585a
12248a63460
1313547099a
149aaa6692
156061a0c9
hex3d6174c8

1029797064 has 128 divisors (see below), whose sum is σ = 2940192000. Its totient is φ = 338022720.

The previous prime is 1029797053. The next prime is 1029797071. The reversal of 1029797064 is 4607979201.

1029797064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241802 + ... + 1242630.

It is an arithmetic number, because the mean of its divisors is an integer number (22970250).

Almost surely, 21029797064 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 1029797064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470096000).

1029797064 is an abundant number, since it is smaller than the sum of its proper divisors (1910394936).

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

1029797064 is an frugal number, since it uses more digits than its factorization.

1029797064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1029797064 is about 32090.4512900645. The cubic root of 1029797064 is about 1009.8353043220.

The spelling of 1029797064 in words is "one billion, twenty-nine million, seven hundred ninety-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 243 284 324 426 486 568 639 648 729 829 852 972 1278 1458 1658 1704 1917 1944 2187 2487 2556 2916 3316 3834 4374 4974 5112 5751 5832 6632 7461 7668 8748 9948 11502 14922 15336 17253 17496 19896 22383 23004 29844 34506 44766 46008 51759 58859 59688 67149 69012 89532 103518 117718 134298 138024 155277 176577 179064 201447 207036 235436 268596 310554 353154 402894 414072 470872 529731 537192 604341 621108 706308 805788 1059462 1208682 1242216 1412616 1589193 1611576 1813023 2118924 2417364 3178386 3626046 4237848 4767579 4834728 6356772 7252092 9535158 12713544 14302737 14504184 19070316 28605474 38140632 42908211 57210948 85816422 114421896 128724633 171632844 257449266 343265688 514898532 1029797064