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2696328 = 23351973
BaseRepresentation
bin1010010010010010001000
312001222200000
422102102020
51142240303
6133443000
731630005
oct12222210
95058600
102696328
111581878
12aa0460
1373537b
145028ac
15383da3
hex292488

2696328 has 96 divisors (see below), whose sum is σ = 8080800. Its totient is φ = 839808.

The previous prime is 2696311. The next prime is 2696329. The reversal of 2696328 is 8236962.

2696328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 an Ulam number.

It is a d-powerful number, because it can be written as 215 + 6 + 96 + 6 + 37 + 221 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 2696292 and 2696301.

It is not an unprimeable number, because it can be changed into a prime (2696329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36900 + ... + 36972.

It is an arithmetic number, because the mean of its divisors is an integer number (84175).

22696328 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 2696328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040400).

2696328 is an abundant number, since it is smaller than the sum of its proper divisors (5384472).

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

2696328 is a wasteful number, since it uses less digits than its factorization.

2696328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2696328 is about 1642.0499383393. The cubic root of 2696328 is about 139.1845107617.

The spelling of 2696328 in words is "two million, six hundred ninety-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 73 76 81 108 114 146 152 162 171 216 219 228 243 292 324 342 438 456 486 513 584 648 657 684 876 972 1026 1314 1368 1387 1539 1752 1944 1971 2052 2628 2774 3078 3942 4104 4161 4617 5256 5548 5913 6156 7884 8322 9234 11096 11826 12312 12483 15768 16644 17739 18468 23652 24966 33288 35478 36936 37449 47304 49932 70956 74898 99864 112347 141912 149796 224694 299592 337041 449388 674082 898776 1348164 2696328