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266013440 = 2857112699
BaseRepresentation
bin11111101101100…
…00101100000000
3200112112212211122
433312300230000
51021044412230
642221331412
76410035250
oct1766605400
9615485748
10266013440
11127180920
1275106b68
134315b404
1427487960
1518548be5
hexfdb0b00

266013440 has 144 divisors (see below), whose sum is σ = 794707200. Its totient is φ = 82882560.

The previous prime is 266013439. The next prime is 266013457. The reversal of 266013440 is 44310662.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97211 + ... + 99909.

It is an arithmetic number, because the mean of its divisors is an integer number (5518800).

Almost surely, 2266013440 is an apocalyptic number.

266013440 is a gapful number since it is divisible by the number (20) 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 266013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397353600).

266013440 is an abundant number, since it is smaller than the sum of its proper divisors (528693760).

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

266013440 is a wasteful number, since it uses less digits than its factorization.

266013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 266013440 is about 16309.9184547318. The cubic root of 266013440 is about 643.1335904967.

The spelling of 266013440 in words is "two hundred sixty-six million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2699 2816 3080 3520 4480 4928 5398 6160 7040 8960 9856 10796 12320 13495 14080 18893 19712 21592 24640 26990 29689 37786 43184 49280 53980 59378 75572 86368 94465 98560 107960 118756 148445 151144 172736 188930 207823 215920 237512 296890 302288 345472 377860 415646 431840 475024 593780 604576 690944 755720 831292 863680 950048 1039115 1187560 1209152 1511440 1662584 1727360 1900096 2078230 2375120 2418304 3022880 3325168 3454720 3800192 4156460 4750240 4836608 6045760 6650336 7600384 8312920 9500480 12091520 13300672 16625840 19000960 24183040 26601344 33251680 38001920 53202688 66503360 133006720 266013440