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2755368 = 2332721171
BaseRepresentation
bin1010100000101100101000
312011222122200
422200230220
51201132433
6135020200
732264100
oct12405450
95158580
102755368
111612170
12b0a660
137561c5
1451a200
15396613
hex2a0b28

2755368 has 144 divisors (see below), whose sum is σ = 9603360. Its totient is φ = 705600.

The previous prime is 2755307. The next prime is 2755369. The reversal of 2755368 is 8635572.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2755369) 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, 38773 + ... + 38843.

It is an arithmetic number, because the mean of its divisors is an integer number (66690).

22755368 is an apocalyptic number.

2755368 is a gapful number since it is divisible by the number (28) 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 2755368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801680).

2755368 is an abundant number, since it is smaller than the sum of its proper divisors (6847992).

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

2755368 is a wasteful number, since it uses less digits than its factorization.

2755368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2755368 is about 1659.9301190110. The cubic root of 2755368 is about 140.1930669620.

The spelling of 2755368 in words is "two million, seven hundred fifty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 71 72 77 84 88 98 99 126 132 142 147 154 168 196 198 213 231 252 264 284 294 308 392 396 426 441 462 497 504 539 568 588 616 639 693 781 792 852 882 924 994 1078 1176 1278 1386 1491 1562 1617 1704 1764 1848 1988 2156 2343 2556 2772 2982 3124 3234 3479 3528 3976 4312 4473 4686 4851 5112 5467 5544 5964 6248 6468 6958 7029 8946 9372 9702 10437 10934 11928 12936 13916 14058 16401 17892 18744 19404 20874 21868 27832 28116 31311 32802 35784 38269 38808 41748 43736 49203 56232 62622 65604 76538 83496 98406 114807 125244 131208 153076 196812 229614 250488 306152 344421 393624 459228 688842 918456 1377684 2755368