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269726380 = 2257211131191
BaseRepresentation
bin10000000100111…
…011001010101100
3200210112112000221
4100010323022230
51023022221010
642433101124
76453431200
oct2004731254
9623475027
10269726380
11129287470
12763b77a4
1343b5b411
1427b72b00
1518a2ddda
hex1013b2ac

269726380 has 144 divisors (see below), whose sum is σ = 728082432. Its totient is φ = 82992000.

The previous prime is 269726377. The next prime is 269726407. The reversal of 269726380 is 83627962.

269726380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412085 + ... + 1412275.

It is an arithmetic number, because the mean of its divisors is an integer number (5056128).

Almost surely, 2269726380 is an apocalyptic number.

269726380 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 269726380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364041216).

269726380 is an abundant number, since it is smaller than the sum of its proper divisors (458356052).

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

269726380 is a wasteful number, since it uses less digits than its factorization.

269726380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 269726380 is about 16423.3486232254. The cubic root of 269726380 is about 646.1120012076.

The spelling of 269726380 in words is "two hundred sixty-nine million, seven hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 131 140 154 191 196 220 245 262 308 382 385 490 524 539 655 764 770 917 955 980 1078 1310 1337 1441 1540 1834 1910 2101 2156 2620 2674 2695 2882 3668 3820 4202 4585 5348 5390 5764 6419 6685 7205 8404 9170 9359 10087 10505 10780 12838 13370 14410 14707 18340 18718 20174 21010 25021 25676 26740 28820 29414 32095 37436 40348 42020 46795 50042 50435 58828 64190 70609 73535 93590 100084 100870 102949 125105 128380 141218 147070 175147 187180 201740 205898 250210 275231 282436 294140 350294 353045 411796 500420 514745 550462 700588 706090 875735 1029490 1100924 1226029 1376155 1412180 1751470 1926617 2058980 2452058 2752310 3502940 3853234 4904116 5504620 6130145 7706468 9633085 12260290 13486319 19266170 24520580 26972638 38532340 53945276 67431595 134863190 269726380