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145075280 = 2457317311
BaseRepresentation
bin10001010010110…
…10110001010000
3101002222120212112
420221122301100
5244114402110
622221244452
73411056000
oct1051326120
9332876775
10145075280
1174989229
1240703728
132409647c
14153a6000
15cb0a405
hex8a5ac50

145075280 has 160 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 46663680.

The previous prime is 145075253. The next prime is 145075291. The reversal of 145075280 is 82570541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466325 + ... + 466635.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2145075280 is an apocalyptic number.

145075280 is a gapful number since it is divisible by the number (10) 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 145075280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

145075280 is an abundant number, since it is smaller than the sum of its proper divisors (272755120).

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

145075280 is a wasteful number, since it uses less digits than its factorization.

145075280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 145075280 is about 12044.7200050479. The cubic root of 145075280 is about 525.4496887831.

The spelling of 145075280 in words is "one hundred forty-five million, seventy-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 311 340 343 392 476 490 560 595 622 680 686 784 833 952 980 1190 1244 1360 1372 1555 1666 1715 1904 1960 2177 2380 2488 2744 3110 3332 3430 3920 4165 4354 4760 4976 5287 5488 5831 6220 6664 6860 8330 8708 9520 10574 10885 11662 12440 13328 13720 15239 16660 17416 21148 21770 23324 24880 26435 27440 29155 30478 33320 34832 37009 42296 43540 46648 52870 58310 60956 66640 74018 76195 84592 87080 93296 105740 106673 116620 121912 148036 152390 174160 185045 211480 213346 233240 243824 259063 296072 304780 370090 422960 426692 466480 518126 533365 592144 609560 740180 853384 1036252 1066730 1219120 1295315 1480360 1706768 1813441 2072504 2133460 2590630 2960720 3626882 4145008 4266920 5181260 7253764 8533840 9067205 10362520 14507528 18134410 20725040 29015056 36268820 72537640 145075280