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68921280 = 263452659
BaseRepresentation
bin1000001101110…
…10011111000000
311210200120020000
410012322133000
5120120440110
610501120000
71464551451
oct406723700
9153616200
1068921280
11359a463a
121b0b9000
131138182c
149221128
1560b61c0
hex41ba7c0

68921280 has 140 divisors (see below), whose sum is σ = 245257320. Its totient is φ = 18372096.

The previous prime is 68921239. The next prime is 68921309. The reversal of 68921280 is 8212986.

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 19 ways as a sum of consecutive naturals, for example, 24591 + ... + 27249.

It is an arithmetic number, because the mean of its divisors is an integer number (1751838).

Almost surely, 268921280 is an apocalyptic number.

68921280 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 68921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122628660).

68921280 is an abundant number, since it is smaller than the sum of its proper divisors (176336040).

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

68921280 is a wasteful number, since it uses less digits than its factorization.

68921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68921280 is about 8301.8841234987. The cubic root of 68921280 is about 410.0005552243. Note that the first 3 decimals are identical.

The spelling of 68921280 in words is "sixty-eight million, nine hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2659 2880 3240 4320 5184 5318 6480 7977 8640 10636 12960 13295 15954 21272 23931 25920 26590 31908 39885 42544 47862 53180 63816 71793 79770 85088 95724 106360 119655 127632 143586 159540 170176 191448 212720 215379 239310 255264 287172 319080 358965 382896 425440 430758 478620 510528 574344 638160 717930 765792 850880 861516 957240 1076895 1148688 1276320 1435860 1531584 1723032 1914480 2153790 2297376 2552640 2871720 3446064 3828960 4307580 4594752 5743440 6892128 7657920 8615160 11486880 13784256 17230320 22973760 34460640 68921280