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276056200 = 235272171657
BaseRepresentation
bin10000011101000…
…100100010001000
3201020110002220201
4100131010202020
51031132244300
643220501544
76561303400
oct2035044210
9636402821
10276056200
11131910122
127854a8b4
1345266584
142893d800
151937e66a
hex10744888

276056200 has 144 divisors (see below), whose sum is σ = 791015220. Its totient is φ = 89026560.

The previous prime is 276056161. The next prime is 276056201. The reversal of 276056200 is 2650672.

It can be written as a sum of positive squares in 6 ways, for example, as 114105124 + 161951076 = 10682^2 + 12726^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (276056201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165772 + ... + 167428.

Almost surely, 2276056200 is an apocalyptic number.

276056200 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 276056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395507610).

276056200 is an abundant number, since it is smaller than the sum of its proper divisors (514959020).

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

276056200 is a wasteful number, since it uses less digits than its factorization.

276056200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 276056200 is about 16614.9390609776. The cubic root of 276056200 is about 651.1271960194.

The spelling of 276056200 in words is "two hundred seventy-six million, fifty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 49 50 56 68 70 85 98 100 119 136 140 170 175 196 200 238 245 280 340 350 392 425 476 490 595 680 700 833 850 952 980 1190 1225 1400 1657 1666 1700 1960 2380 2450 2975 3314 3332 3400 4165 4760 4900 5950 6628 6664 8285 8330 9800 11599 11900 13256 16570 16660 20825 23198 23800 28169 33140 33320 41425 41650 46396 56338 57995 66280 81193 82850 83300 92792 112676 115990 140845 162386 165700 166600 197183 225352 231980 281690 289975 324772 331400 394366 405965 463960 563380 579950 649544 704225 788732 811930 985915 1126760 1159900 1380281 1408450 1577464 1623860 1971830 2029825 2319800 2760562 2816900 3247720 3943660 4059650 4929575 5521124 5633800 6901405 7887320 8119300 9859150 11042248 13802810 16238600 19718300 27605620 34507025 39436600 55211240 69014050 138028100 276056200