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68150880 = 2532576761
BaseRepresentation
bin1000000111111…
…10011001100000
311202020102102200
410003332121200
5114421312010
610432413200
71455162420
oct403763140
9152212380
1068150880
1135518846
121a9a7200
1311171c85
1490a0480
155eb2cc0
hex40fe660

68150880 has 144 divisors (see below), whose sum is σ = 265827744. Its totient is φ = 15575040.

The previous prime is 68150843. The next prime is 68150911. The reversal of 68150880 is 8805186.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6700 + ... + 13460.

It is an arithmetic number, because the mean of its divisors is an integer number (1846026).

Almost surely, 268150880 is an apocalyptic number.

68150880 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 68150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132913872).

68150880 is an abundant number, since it is smaller than the sum of its proper divisors (197676864).

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

68150880 is a wasteful number, since it uses less digits than its factorization.

68150880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6789 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 68150880 is about 8255.3546259382. The cubic root of 68150880 is about 408.4671696046.

The spelling of 68150880 in words is "sixty-eight million, one hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 6761 10080 13522 20283 27044 33805 40566 47327 54088 60849 67610 81132 94654 101415 108176 121698 135220 141981 162264 189308 202830 216352 236635 243396 270440 283962 304245 324528 378616 405660 425943 473270 486792 540880 567924 608490 649056 709905 757232 811320 851886 946540 973584 1081760 1135848 1216980 1419810 1514464 1622640 1703772 1893080 1947168 2129715 2271696 2433960 2839620 3245280 3407544 3786160 4259430 4543392 4867920 5679240 6815088 7572320 8518860 9735840 11358480 13630176 17037720 22716960 34075440 68150880