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68816460 = 223523471061
BaseRepresentation
bin1000001101000…
…00111001001100
311210111020102210
410012200321030
5120104111320
610454550420
71463634036
oct406407114
9153436383
1068816460
1135932909
121b068410
1311345bcb
1491d4c56
1560950e0
hex41a0e4c

68816460 has 96 divisors (see below), whose sum is σ = 205535232. Its totient is φ = 17163520.

The previous prime is 68816441. The next prime is 68816471. The reversal of 68816460 is 6461886.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64330 + ... + 65390.

It is an arithmetic number, because the mean of its divisors is an integer number (2140992).

Almost surely, 268816460 is an apocalyptic number.

68816460 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 68816460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102767616).

68816460 is an abundant number, since it is smaller than the sum of its proper divisors (136718772).

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

68816460 is a wasteful number, since it uses less digits than its factorization.

68816460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68816460 is about 8295.5686965994. The cubic root of 68816460 is about 409.7925978578.

The spelling of 68816460 in words is "sixty-eight million, eight hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 564 690 705 940 1061 1081 1380 1410 2122 2162 2820 3183 3243 4244 4324 5305 5405 6366 6486 10610 10810 12732 12972 15915 16215 21220 21620 24403 31830 32430 48806 49867 63660 64860 73209 97612 99734 122015 146418 149601 199468 244030 249335 292836 299202 366045 488060 498670 598404 732090 748005 997340 1146941 1464180 1496010 2293882 2992020 3440823 4587764 5734705 6881646 11469410 13763292 17204115 22938820 34408230 68816460