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68086480 = 24572111579
BaseRepresentation
bin1000000111011…
…10101011010000
311202010011002111
410003232223100
5114412231410
610431155104
71454503600
oct403565320
9152104074
1068086480
1135484420
121a975a94
131114b877
149084c00
155e9db8a
hex40eead0

68086480 has 120 divisors (see below), whose sum is σ = 201013920. Its totient is φ = 21208320.

The previous prime is 68086471. The next prime is 68086483. The reversal of 68086480 is 8468086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68086483) 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, 42331 + ... + 43909.

It is an arithmetic number, because the mean of its divisors is an integer number (1675116).

Almost surely, 268086480 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 68086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100506960).

68086480 is an abundant number, since it is smaller than the sum of its proper divisors (132927440).

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

68086480 is a wasteful number, since it uses less digits than its factorization.

68086480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 68086480 is about 8251.4532053451. The cubic root of 68086480 is about 408.3384670556.

The spelling of 68086480 in words is "sixty-eight million, eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1579 1960 2156 2695 3080 3158 3920 4312 5390 6160 6316 7895 8624 10780 11053 12632 15790 17369 21560 22106 25264 31580 34738 43120 44212 55265 63160 69476 77371 86845 88424 110530 121583 126320 138952 154742 173690 176848 221060 243166 277904 309484 347380 386855 442120 486332 607915 618968 694760 773710 851081 884240 972664 1215830 1237936 1389520 1547420 1702162 1945328 2431660 3094840 3404324 4255405 4863320 6189680 6808648 8510810 9726640 13617296 17021620 34043240 68086480