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2714796 = 22367219
BaseRepresentation
bin1010010110110010101100
312002221000000
422112302230
51143333141
6134104300
732034600
oct12266254
95087000
102714796
111594737
12aab090
137408b6
14509500
153895b6
hex296cac

2714796 has 126 divisors (see below), whose sum is σ = 8722140. Its totient is φ = 734832.

The previous prime is 2714791. The next prime is 2714807. The reversal of 2714796 is 6974172.

It is a happy number.

2714796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2714796.

It is not an unprimeable number, because it can be changed into a prime (2714791) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 142875 + ... + 142893.

22714796 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 2714796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361070).

2714796 is an abundant number, since it is smaller than the sum of its proper divisors (6007344).

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

2714796 is a wasteful number, since it uses less digits than its factorization.

2714796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 31 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 2714796 is about 1647.6638006584. The cubic root of 2714796 is about 139.5015608566.

The spelling of 2714796 in words is "two million, seven hundred fourteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 81 84 98 108 114 126 133 147 162 171 189 196 228 243 252 266 294 324 342 378 399 441 486 513 532 567 588 684 729 756 798 882 931 972 1026 1134 1197 1323 1458 1539 1596 1701 1764 1862 2052 2268 2394 2646 2793 2916 3078 3402 3591 3724 3969 4617 4788 5103 5292 5586 6156 6804 7182 7938 8379 9234 10206 10773 11172 11907 13851 14364 15876 16758 18468 20412 21546 23814 25137 27702 32319 33516 35721 43092 47628 50274 55404 64638 71442 75411 96957 100548 129276 142884 150822 193914 226233 301644 387828 452466 678699 904932 1357398 2714796