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2740100 = 2252114753
BaseRepresentation
bin1010011100111110000100
312011012201012
422130332010
51200140400
6134421352
732201426
oct12347604
95135635
102740100
111601750
12b01858
1374c27c
14514816
15391d35
hex29cf84

2740100 has 72 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 956800.

The previous prime is 2740093. The next prime is 2740139. The reversal of 2740100 is 10472.

It is a happy number.

2740100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51674 + ... + 51726.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22740100 is an apocalyptic number.

2740100 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 2740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2740100 is an abundant number, since it is smaller than the sum of its proper divisors (4009468).

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

2740100 is a wasteful number, since it uses less digits than its factorization.

2740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2740100 is about 1655.3247415538. The cubic root of 2740100 is about 139.9336420216.

Adding to 2740100 its reverse (10472), we get a palindrome (2750572).

The spelling of 2740100 in words is "two million, seven hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 53 55 94 100 106 110 188 212 220 235 265 275 470 517 530 550 583 940 1034 1060 1100 1166 1175 1325 2068 2332 2350 2491 2585 2650 2915 4700 4982 5170 5300 5830 9964 10340 11660 12455 12925 14575 24910 25850 27401 29150 49820 51700 54802 58300 62275 109604 124550 137005 249100 274010 548020 685025 1370050 2740100