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68090760 = 2333567941
BaseRepresentation
bin1000000111011…
…11101110001000
311202010100222000
410003233232020
5114412401020
610431231000
71454522223
oct403575610
9152110860
1068090760
1135487661
121a978460
13111507ba
1490865ba
155ea0090
hex40efb88

68090760 has 128 divisors (see below), whose sum is σ = 230601600. Its totient is φ = 17867520.

The previous prime is 68090731. The next prime is 68090773. The reversal of 68090760 is 6709086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71890 + ... + 72830.

It is an arithmetic number, because the mean of its divisors is an integer number (1801575).

Almost surely, 268090760 is an apocalyptic number.

68090760 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 68090760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115300800).

68090760 is an abundant number, since it is smaller than the sum of its proper divisors (162510840).

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

68090760 is a wasteful number, since it uses less digits than its factorization.

68090760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 68090760 is about 8251.7125495257. The cubic root of 68090760 is about 408.3470230960.

The spelling of 68090760 in words is "sixty-eight million, ninety thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 335 360 402 536 540 603 670 804 941 1005 1080 1206 1340 1608 1809 1882 2010 2412 2680 2823 3015 3618 3764 4020 4705 4824 5646 6030 7236 7528 8040 8469 9045 9410 11292 12060 14115 14472 16938 18090 18820 22584 24120 25407 28230 33876 36180 37640 42345 50814 56460 63047 67752 72360 84690 101628 112920 126094 127035 169380 189141 203256 252188 254070 315235 338760 378282 504376 508140 567423 630470 756564 945705 1016280 1134846 1260940 1513128 1702269 1891410 2269692 2521880 2837115 3404538 3782820 4539384 5674230 6809076 7565640 8511345 11348460 13618152 17022690 22696920 34045380 68090760