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2064035424 = 2531121371297
BaseRepresentation
bin111101100000110…
…1010111001100000
312022211211212022110
41323001222321200
513211343113144
6540451235320
7102102003663
oct17301527140
95284755273
102064035424
1196a104400
124972a8b40
1326b808049
141581a76da
15c13110b9
hex7b06ae60

2064035424 has 144 divisors (see below), whose sum is σ = 6003519984. Its totient is φ = 620421120.

The previous prime is 2064035423. The next prime is 2064035431. The reversal of 2064035424 is 4245304602.

2064035424 is a modest number, since divided by 35424 gives 20640 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2064035391 and 2064035400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064035423) 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, 1590744 + ... + 1592040.

It is an arithmetic number, because the mean of its divisors is an integer number (41691111).

Almost surely, 22064035424 is an apocalyptic number.

2064035424 is a gapful number since it is divisible by the number (24) 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 2064035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001759992).

2064035424 is an abundant number, since it is smaller than the sum of its proper divisors (3939484560).

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

2064035424 is a wasteful number, since it uses less digits than its factorization.

2064035424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2064035424 is about 45431.6566283907. The cubic root of 2064035424 is about 1273.2266360408.

The spelling of 2064035424 in words is "two billion, sixty-four million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 137 176 242 264 274 352 363 411 484 528 548 726 822 968 1056 1096 1297 1452 1507 1644 1936 2192 2594 2904 3014 3288 3872 3891 4384 4521 5188 5808 6028 6576 7782 9042 10376 11616 12056 13152 14267 15564 16577 18084 20752 24112 28534 31128 33154 36168 41504 42801 48224 49731 57068 62256 66308 72336 85602 99462 114136 124512 132616 144672 156937 171204 177689 198924 228272 265232 313874 342408 355378 397848 456544 470811 530464 533067 627748 684816 710756 795696 941622 1066134 1255496 1369632 1421512 1591392 1883244 1954579 2132268 2510992 2843024 3766488 3909158 4264536 5021984 5686048 5863737 7532976 7818316 8529072 11727474 15065952 15636632 17058144 21500369 23454948 31273264 43000738 46909896 62546528 64501107 86001476 93819792 129002214 172002952 187639584 258004428 344005904 516008856 688011808 1032017712 2064035424