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2764933220 = 2257672811049
BaseRepresentation
bin1010010011001101…
…1000100001100100
321010200201011100002
42210303120201210
521130310330340
61134210040432
7125342354540
oct24463304144
97120634302
102764933220
111199807285
12651b79118
13350a9cc7a
141c32d6a20
15112b0e715
hexa4cd8864

2764933220 has 96 divisors (see below), whose sum is σ = 6765292800. Its totient is φ = 929617920.

The previous prime is 2764933217. The next prime is 2764933231. The reversal of 2764933220 is 223394672.

It is a super-2 number, since 2×27649332202 = 15289711422119136800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2635256 + ... + 2636304.

It is an arithmetic number, because the mean of its divisors is an integer number (70471800).

Almost surely, 22764933220 is an apocalyptic number.

2764933220 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 2764933220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382646400).

2764933220 is an abundant number, since it is smaller than the sum of its proper divisors (4000359580).

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

2764933220 is a wasteful number, since it uses less digits than its factorization.

2764933220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 2764933220 is about 52582.6323038320. The cubic root of 2764933220 is about 1403.5510566678.

The spelling of 2764933220 in words is "two billion, seven hundred sixty-four million, nine hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 281 335 469 562 670 938 1049 1124 1340 1405 1876 1967 2098 2345 2810 3934 4196 4690 5245 5620 7343 7868 9380 9835 10490 14686 18827 19670 20980 29372 36715 37654 39340 70283 73430 75308 94135 131789 140566 146860 188270 263578 281132 294769 351415 376540 491981 527156 589538 658945 702830 983962 1179076 1317890 1405660 1473845 1967924 2063383 2459905 2635780 2947690 4126766 4919810 5895380 8253532 9839620 10316915 19749523 20633830 39499046 41267660 78998092 98747615 138246661 197495230 276493322 394990460 552986644 691233305 1382466610 2764933220