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68482560 = 293537241
BaseRepresentation
bin1000001010011…
…11011000000000
311202212021102010
410011033120000
5120012420220
610443452520
71461043416
oct405173000
9152767363
1068482560
1135724a63
121ab27140
1311259c33
1491492b6
15602b1e0
hex414f600

68482560 has 160 divisors (see below), whose sum is σ = 225780192. Its totient is φ = 17694720.

The previous prime is 68482559. The next prime is 68482573. The reversal of 68482560 is 6528486.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×684825602 = 9379722048307200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284040 + ... + 284280.

Almost surely, 268482560 is an apocalyptic number.

68482560 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 68482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112890096).

68482560 is an abundant number, since it is smaller than the sum of its proper divisors (157297632).

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

68482560 is a wasteful number, since it uses less digits than its factorization.

68482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 68482560 is about 8275.4190226236. The cubic root of 68482560 is about 409.1287467583.

The spelling of 68482560 in words is "sixty-eight million, four hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 241 256 296 320 370 384 444 480 482 512 555 592 640 723 740 768 888 960 964 1110 1184 1205 1280 1446 1480 1536 1776 1920 1928 2220 2368 2410 2560 2892 2960 3552 3615 3840 3856 4440 4736 4820 5784 5920 7104 7230 7680 7712 8880 8917 9472 9640 11568 11840 14208 14460 15424 17760 17834 18944 19280 23136 23680 26751 28416 28920 30848 35520 35668 38560 44585 46272 47360 53502 56832 57840 61696 71040 71336 77120 89170 92544 94720 107004 115680 123392 133755 142080 142672 154240 178340 185088 214008 231360 267510 284160 285344 308480 356680 370176 428016 462720 535020 570688 616960 713360 856032 925440 1070040 1141376 1426720 1712064 1850880 2140080 2282752 2853440 3424128 4280160 4565504 5706880 6848256 8560320 11413760 13696512 17120640 22827520 34241280 68482560