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263007990 = 232572232593
BaseRepresentation
bin11111010110100…
…10111011110110
3200022220012010200
433223102323312
51014312223430
642033101330
76342350100
oct1753227366
9608805120
10263007990
11125508883
12740b7846
134264843b
1426d04570
1518153460
hexfad2ef6

263007990 has 144 divisors (see below), whose sum is σ = 830370528. Its totient is φ = 57480192.

The previous prime is 263007961. The next prime is 263007991. The reversal of 263007990 is 99700362.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263007991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100134 + ... + 102726.

It is an arithmetic number, because the mean of its divisors is an integer number (5766462).

Almost surely, 2263007990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263007990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415185264).

263007990 is an abundant number, since it is smaller than the sum of its proper divisors (567362538).

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

263007990 is a wasteful number, since it uses less digits than its factorization.

263007990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 263007990 is about 16217.5210806091. The cubic root of 263007990 is about 640.7023458150.

Subtracting from 263007990 its reverse (99700362), we obtain a triangular number (163307628 = T18072).

The spelling of 263007990 in words is "two hundred sixty-three million, seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 49 63 69 70 90 98 105 115 126 138 147 161 207 210 230 245 294 315 322 345 414 441 483 490 630 690 735 805 882 966 1035 1127 1449 1470 1610 2070 2205 2254 2415 2593 2898 3381 4410 4830 5186 5635 6762 7245 7779 10143 11270 12965 14490 15558 16905 18151 20286 23337 25930 33810 36302 38895 46674 50715 54453 59639 77790 90755 101430 108906 116685 119278 127057 163359 178917 181510 233370 254114 272265 298195 326718 357834 381171 417473 536751 544530 596390 635285 762342 816795 834946 894585 1073502 1143513 1252419 1270570 1633590 1789170 1905855 2087365 2287026 2504838 2683755 2922311 3757257 3811710 4174730 5367510 5717565 5844622 6262095 7514514 8766933 11435130 12524190 14611555 17533866 18786285 26300799 29223110 37572570 43834665 52601598 87669330 131503995 263007990