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2755199280 = 243515773121
BaseRepresentation
bin1010010000111001…
…0000000100110000
321010000101121212210
42210032100010300
521120312334110
61133221252120
7125163543651
oct24416200460
97100347783
102755199280
111194268aa9
1264a864040
1334ba72542
141c1cc1528
15111d3a520
hexa4390130

2755199280 has 80 divisors (see below), whose sum is σ = 8595637344. Its totient is φ = 730030080.

The previous prime is 2755199273. The next prime is 2755199297. The reversal of 2755199280 is 829915572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×27551992803 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120 + ... + 74240.

Almost surely, 22755199280 is an apocalyptic number.

2755199280 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 2755199280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297818672).

2755199280 is an abundant number, since it is smaller than the sum of its proper divisors (5840438064).

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

2755199280 is a wasteful number, since it uses less digits than its factorization.

2755199280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73294 (or 73288 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The square root of 2755199280 is about 52489.9921889878. The cubic root of 2755199280 is about 1401.9020541355.

The spelling of 2755199280 in words is "two billion, seven hundred fifty-five million, one hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12560 18840 37680 73121 146242 219363 292484 365605 438726 584968 731210 877452 1096815 1169936 1462420 1754904 2193630 2924840 3509808 4387260 5849680 8774520 11479997 17549040 22959994 34439991 45919988 57399985 68879982 91839976 114799970 137759964 172199955 183679952 229599940 275519928 344399910 459199880 551039856 688799820 918399760 1377599640 2755199280