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68154320 = 245132712
BaseRepresentation
bin1000000111111…
…11001111010000
311202020121011002
410003333033100
5114421414240
610432441132
71455205433
oct403771720
9152217132
1068154320
1135520393
121a9a91a8
1311173700
1490a181a
155eb3d15
hex40ff3d0

68154320 has 90 divisors (see below), whose sum is σ = 174036294. Its totient is φ = 24810240.

The previous prime is 68154319. The next prime is 68154323. The reversal of 68154320 is 2345186.

It can be written as a sum of positive squares in 3 ways, for example, as 322624 + 67831696 = 568^2 + 8236^2 .

It is a super-2 number, since 2×681543202 = 9290022669324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68154323) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 959885 + ... + 959955.

Almost surely, 268154320 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 68154320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87018147).

68154320 is an abundant number, since it is smaller than the sum of its proper divisors (105881974).

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

68154320 is a wasteful number, since it uses less digits than its factorization.

68154320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 68154320 is about 8255.5629729292. The cubic root of 68154320 is about 408.4740421176.

The spelling of 68154320 in words is "sixty-eight million, one hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 169 208 260 284 338 355 520 568 676 710 845 923 1040 1136 1352 1420 1690 1846 2704 2840 3380 3692 4615 5041 5680 6760 7384 9230 10082 11999 13520 14768 18460 20164 23998 25205 36920 40328 47996 50410 59995 65533 73840 80656 95992 100820 119990 131066 191984 201640 239980 262132 327665 403280 479960 524264 655330 851929 959920 1048528 1310660 1703858 2621320 3407716 4259645 5242640 6815432 8519290 13630864 17038580 34077160 68154320