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68517888 = 21531741
BaseRepresentation
bin1000001010110…
…00000000000000
311202221001212120
410011120000000
5120020033023
610444324240
71461251415
oct405300000
9152831776
1068517888
113574955a
121ab43680
131127003a
14915810c
1560368e3
hex4158000

68517888 has 128 divisors (see below), whose sum is σ = 198177840. Its totient is φ = 20971520.

The previous prime is 68517887. The next prime is 68517893. The reversal of 68517888 is 88871586.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 68517888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68517887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1671148 + ... + 1671188.

Almost surely, 268517888 is an apocalyptic number.

68517888 is a gapful number since it is divisible by the number (68) 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 68517888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99088920).

68517888 is an abundant number, since it is smaller than the sum of its proper divisors (129659952).

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

68517888 is an equidigital number, since it uses as much as digits as its factorization.

68517888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its digits is 860160, while the sum is 51.

The square root of 68517888 is about 8277.5532616831. The cubic root of 68517888 is about 409.1990868842.

The spelling of 68517888 in words is "sixty-eight million, five hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 128 136 164 192 204 246 256 272 328 384 408 492 512 544 656 697 768 816 984 1024 1088 1312 1394 1536 1632 1968 2048 2091 2176 2624 2788 3072 3264 3936 4096 4182 4352 5248 5576 6144 6528 7872 8192 8364 8704 10496 11152 12288 13056 15744 16384 16728 17408 20992 22304 24576 26112 31488 32768 33456 34816 41984 44608 49152 52224 62976 66912 69632 83968 89216 98304 104448 125952 133824 139264 167936 178432 208896 251904 267648 278528 335872 356864 417792 503808 535296 557056 671744 713728 835584 1007616 1070592 1343488 1427456 1671168 2015232 2141184 2854912 4030464 4282368 5709824 8564736 11419648 17129472 22839296 34258944 68517888