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272707050 = 235272113373
BaseRepresentation
bin10000010000010…
…010110111101010
3201000010221202010
4100100102313222
51024303111200
643021020350
76520654200
oct2020226752
9630127663
10272707050
1112aa32930
12773b46b6
1344663025
142830b070
1518e1c150
hex10412dea

272707050 has 144 divisors (see below), whose sum is σ = 858507552. Its totient is φ = 56649600.

The previous prime is 272707033. The next prime is 272707063. The reversal of 272707050 is 50707272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 272706999 and 272707017.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79164 + ... + 82536.

It is an arithmetic number, because the mean of its divisors is an integer number (5961858).

Almost surely, 2272707050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272707050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429253776).

272707050 is an abundant number, since it is smaller than the sum of its proper divisors (585800502).

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

272707050 is a wasteful number, since it uses less digits than its factorization.

272707050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 272707050 is about 16513.8441920711. The cubic root of 272707050 is about 648.4832881104.

The spelling of 272707050 in words is "two hundred seventy-two million, seven hundred seven thousand, fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 49 50 55 66 70 75 77 98 105 110 147 150 154 165 175 210 231 245 275 294 330 350 385 462 490 525 539 550 735 770 825 1050 1078 1155 1225 1470 1617 1650 1925 2310 2450 2695 3234 3373 3675 3850 5390 5775 6746 7350 8085 10119 11550 13475 16170 16865 20238 23611 26950 33730 37103 40425 47222 50595 70833 74206 80850 84325 101190 111309 118055 141666 165277 168650 185515 222618 236110 252975 259721 330554 354165 371030 495831 505950 519442 556545 590275 708330 779163 826385 927575 991662 1113090 1180550 1298605 1558326 1652770 1770825 1818047 1855150 2479155 2597210 2782725 3541650 3636094 3895815 4131925 4958310 5454141 5565450 6493025 7791630 8263850 9090235 10908282 12395775 12986050 18180470 19479075 24791550 27270705 38958150 45451175 54541410 90902350 136353525 272707050