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2755082100 = 2235264114327
BaseRepresentation
bin1010010000110111…
…0011011101110100
321010000011200010210
42210031303131310
521120300111400
61133214545420
7125162545221
oct24415633564
97100150123
102755082100
111194198a61
1264a808270
1334ba310c4
141c1c90948
15111d15950
hexa4373774

2755082100 has 72 divisors (see below), whose sum is σ = 7984363968. Its totient is φ = 733491200.

The previous prime is 2755082089. The next prime is 2755082107. The reversal of 2755082100 is 12805572.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755082107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185137 + ... + 199463.

It is an arithmetic number, because the mean of its divisors is an integer number (110893944).

Almost surely, 22755082100 is an apocalyptic number.

2755082100 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 2755082100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992181984).

2755082100 is an abundant number, since it is smaller than the sum of its proper divisors (5229281868).

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

2755082100 is a wasteful number, since it uses less digits than its factorization.

2755082100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 2755082100 is about 52488.8759643412. The cubic root of 2755082100 is about 1401.8821793225.

Adding to 2755082100 its reverse (12805572), we get a palindrome (2767887672).

The spelling of 2755082100 in words is "two billion, seven hundred fifty-five million, eighty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 641 1282 1923 2564 3205 3846 6410 7692 9615 12820 14327 16025 19230 28654 32050 38460 42981 48075 57308 64100 71635 85962 96150 143270 171924 192300 214905 286540 358175 429810 716350 859620 1074525 1432700 2149050 4298100 9183607 18367214 27550821 36734428 45918035 55101642 91836070 110203284 137754105 183672140 229590175 275508210 459180350 551016420 688770525 918360700 1377541050 2755082100