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726990768 = 243371912653
BaseRepresentation
bin101011010101001…
…111111110110000
31212122221221212000
4223111033332300
52442102201033
6200045534000
724005214420
oct5325177660
91778857760
10726990768
11343404a19
12183574300
13b77cc76a
146c7a2480
1543c54a13
hex2b54ffb0

726990768 has 160 divisors (see below), whose sum is σ = 2510553600. Its totient is φ = 196763904.

The previous prime is 726990751. The next prime is 726990773. The reversal of 726990768 is 867099627.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51130 + ... + 63782.

It is an arithmetic number, because the mean of its divisors is an integer number (15690960).

Almost surely, 2726990768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726990768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255276800).

726990768 is an abundant number, since it is smaller than the sum of its proper divisors (1783562832).

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

726990768 is a wasteful number, since it uses less digits than its factorization.

726990768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12696 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 726990768 is about 26962.7663269183. The cubic root of 726990768 is about 899.1723947550.

The spelling of 726990768 in words is "seven hundred twenty-six million, nine hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 12653 14364 19152 25306 28728 37959 50612 57456 75918 88571 101224 113877 151836 177142 202448 227754 240407 265713 303672 341631 354284 455508 480814 531426 607344 683262 708568 721221 797139 911016 961628 1062852 1366524 1417136 1442442 1594278 1682849 1822032 1923256 2125704 2163663 2391417 2733048 2884884 3188556 3365698 3846512 4251408 4327326 4782834 5048547 5466096 5769768 6377112 6490989 6731396 8654652 9565668 10097094 11539536 12754224 12981978 13462792 15145641 17309304 19131336 20194188 25963956 26925584 30291282 34618608 38262672 40388376 45436923 51927912 60582564 80776752 90873846 103855824 121165128 181747692 242330256 363495384 726990768