[go: up one dir, main page]

Search a number
-
+
2700096 = 2637341
BaseRepresentation
bin1010010011001101000000
312002011211120
422103031000
51142400341
6133512240
731644000
oct12231500
95064746
102700096
111584693
12aa2680
13736cb9
14504000
15385066
hex293340

2700096 has 112 divisors (see below), whose sum is σ = 8534400. Its totient is φ = 752640.

The previous prime is 2700091. The next prime is 2700101. The reversal of 2700096 is 6900072.

It is an interprime number because it is at equal distance from previous prime (2700091) and next prime (2700101).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2700091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65836 + ... + 65876.

It is an arithmetic number, because the mean of its divisors is an integer number (76200).

22700096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267200).

2700096 is an abundant number, since it is smaller than the sum of its proper divisors (5834304).

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

2700096 is an equidigital number, since it uses as much as digits as its factorization.

2700096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2700096 is about 1643.1968841256. The cubic root of 2700096 is about 139.2493153315.

Subtracting from 2700096 its sum of digits (24), we obtain a palindrome (2700072).

The spelling of 2700096 in words is "two million, seven hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 64 82 84 96 98 112 123 147 164 168 192 196 224 246 287 294 328 336 343 392 448 492 574 588 656 672 686 784 861 984 1029 1148 1176 1312 1344 1372 1568 1722 1968 2009 2058 2296 2352 2624 2744 3136 3444 3936 4018 4116 4592 4704 5488 6027 6888 7872 8036 8232 9184 9408 10976 12054 13776 14063 16072 16464 18368 21952 24108 27552 28126 32144 32928 42189 48216 55104 56252 64288 65856 84378 96432 112504 128576 168756 192864 225008 337512 385728 450016 675024 900032 1350048 2700096