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276265640 = 235717127457
BaseRepresentation
bin10000011101110…
…111101010101000
3201020211202012202
4100131313222220
51031211000030
643225155332
76563135120
oct2035675250
9636752182
10276265640
11131a43512
127862bb48
134530a9c1
1428995c80
15193c1745
hex10777aa8

276265640 has 128 divisors (see below), whose sum is σ = 759767040. Its totient is φ = 88252416.

The previous prime is 276265637. The next prime is 276265651. The reversal of 276265640 is 46562672.

It is a junction number, because it is equal to n+sod(n) for n = 276265594 and 276265603.

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, 604292 + ... + 604748.

It is an arithmetic number, because the mean of its divisors is an integer number (5935680).

Almost surely, 2276265640 is an apocalyptic number.

276265640 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 276265640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379883520).

276265640 is an abundant number, since it is smaller than the sum of its proper divisors (483501400).

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

276265640 is a wasteful number, since it uses less digits than its factorization.

276265640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 276265640 is about 16621.2406275825. The cubic root of 276265640 is about 651.2918214430.

The spelling of 276265640 in words is "two hundred seventy-six million, two hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 127 136 140 170 238 254 280 340 457 476 508 595 635 680 889 914 952 1016 1190 1270 1778 1828 2159 2285 2380 2540 3199 3556 3656 4318 4445 4570 4760 5080 6398 7112 7769 8636 8890 9140 10795 12796 15113 15538 15995 17272 17780 18280 21590 25592 30226 31076 31990 35560 38845 43180 54383 58039 60452 62152 63980 75565 77690 86360 108766 116078 120904 127960 151130 155380 217532 232156 271915 290195 302260 310760 406273 435064 464312 543830 580390 604520 812546 986663 1087660 1160780 1625092 1973326 2031365 2175320 2321560 3250184 3946652 4062730 4933315 6906641 7893304 8125460 9866630 13813282 16250920 19733260 27626564 34533205 39466520 55253128 69066410 138132820 276265640