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68209680 = 24357113691
BaseRepresentation
bin1000001000011…
…00110000010000
311202100102002110
410010030300100
5114430202210
610433545320
71455526020
oct404146020
9152312073
1068209680
1135558a40
121aa15240
1311192976
1490b7a80
155ec5420
hex410cc10

68209680 has 160 divisors (see below), whose sum is σ = 263697408. Its totient is φ = 14169600.

The previous prime is 68209657. The next prime is 68209681. The reversal of 68209680 is 8690286.

It is not an unprimeable number, because it can be changed into a prime (68209681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16635 + ... + 20325.

Almost surely, 268209680 is an apocalyptic number.

68209680 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 68209680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131848704).

68209680 is an abundant number, since it is smaller than the sum of its proper divisors (195487728).

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

68209680 is a wasteful number, since it uses less digits than its factorization.

68209680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 68209680 is about 8258.9151830007. The cubic root of 68209680 is about 408.5846098363.

The spelling of 68209680 in words is "sixty-eight million, two hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3691 3696 4620 6160 7382 9240 11073 14764 18455 18480 22146 25837 29528 36910 40601 44292 51674 55365 59056 73820 77511 81202 88584 103348 110730 121803 129185 147640 155022 162404 177168 203005 206696 221460 243606 258370 284207 295280 310044 324808 387555 406010 413392 442920 487212 516740 568414 609015 620088 649616 775110 812020 852621 885840 974424 1033480 1136828 1218030 1240176 1421035 1550220 1624040 1705242 1948848 2066960 2273656 2436060 2842070 3100440 3248080 3410484 4263105 4547312 4872120 5684140 6200880 6820968 8526210 9744240 11368280 13641936 17052420 22736560 34104840 68209680