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64357680 = 24352389131
BaseRepresentation
bin1111010110000…
…0010100110000
311111002201010210
43311200110300
5112433421210
610215224120
71411013502
oct365402460
9144081123
1064357680
1133367972
1219678040
131044458a
148793d72
1559b3e20
hex3d60530

64357680 has 160 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 16107520.

The previous prime is 64357679. The next prime is 64357687. The reversal of 64357680 is 8675346.

It is not an unprimeable number, because it can be changed into a prime (64357687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491215 + ... + 491345.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 264357680 is an apocalyptic number.

64357680 is a gapful number since it is divisible by the number (60) 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 64357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

64357680 is an abundant number, since it is smaller than the sum of its proper divisors (147771600).

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

64357680 is a wasteful number, since it uses less digits than its factorization.

64357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 64357680 is about 8022.3238528496. The cubic root of 64357680 is about 400.7437827774.

The spelling of 64357680 in words is "sixty-four million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 89 92 115 120 131 138 178 184 230 240 262 267 276 345 356 368 393 445 460 524 534 552 655 690 712 786 890 920 1048 1068 1104 1310 1335 1380 1424 1572 1780 1840 1965 2047 2096 2136 2620 2670 2760 3013 3144 3560 3930 4094 4272 5240 5340 5520 6026 6141 6288 7120 7860 8188 9039 10235 10480 10680 11659 12052 12282 15065 15720 16376 18078 20470 21360 23318 24104 24564 30130 30705 31440 32752 34977 36156 40940 45195 46636 48208 49128 58295 60260 61410 69954 72312 81880 90390 93272 98256 116590 120520 122820 139908 144624 163760 174885 180780 186544 233180 241040 245640 268157 279816 349770 361560 466360 491280 536314 559632 699540 723120 804471 932720 1072628 1340785 1399080 1608942 2145256 2681570 2798160 3217884 4022355 4290512 5363140 6435768 8044710 10726280 12871536 16089420 21452560 32178840 64357680