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68263680 = 283529613
BaseRepresentation
bin1000001000110…
…01111100000000
311202110011011110
410010121330000
5114433414210
610435043320
71456142322
oct404317400
9152404143
1068263680
1135595571
121aa40540
13111b1414
1490cd612
155ed6420
hex4119f00

68263680 has 144 divisors (see below), whose sum is σ = 225902880. Its totient is φ = 17547264.

The previous prime is 68263673. The next prime is 68263691. The reversal of 68263680 is 8636286.

68263680 = T131 + T132 + ... + T743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111054 + ... + 111666.

It is an arithmetic number, because the mean of its divisors is an integer number (1568770).

Almost surely, 268263680 is an apocalyptic number.

68263680 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 68263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112951440).

68263680 is an abundant number, since it is smaller than the sum of its proper divisors (157639200).

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

68263680 is a wasteful number, since it uses less digits than its factorization.

68263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 68263680 is about 8262.1837307095. The cubic root of 68263680 is about 408.6924036718.

The spelling of 68263680 in words is "sixty-eight million, two hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 613 640 696 768 870 928 960 1160 1226 1280 1392 1740 1839 1856 1920 2320 2452 2784 3065 3480 3678 3712 3840 4640 4904 5568 6130 6960 7356 7424 9195 9280 9808 11136 12260 13920 14712 17777 18390 18560 19616 22272 24520 27840 29424 35554 36780 37120 39232 49040 53331 55680 58848 71108 73560 78464 88885 98080 106662 111360 117696 142216 147120 156928 177770 196160 213324 235392 266655 284432 294240 355540 392320 426648 470784 533310 568864 588480 711080 784640 853296 1066620 1137728 1176960 1422160 1706592 2133240 2275456 2353920 2844320 3413184 4266480 4550912 5688640 6826368 8532960 11377280 13652736 17065920 22754560 34131840 68263680