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2698038 = 232731923
BaseRepresentation
bin1010010010101100110110
312002002000100
422102230312
51142314123
6133454530
731635000
oct12225466
95062010
102698038
111583092
12aa1446
13736095
14503370
15384643
hex292b36

2698038 has 96 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 698544.

The previous prime is 2698027. The next prime is 2698049. The reversal of 2698038 is 8308962.

2698038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2698027) and next prime (2698049).

It is a junction number, because it is equal to n+sod(n) for n = 2697993 and 2698011.

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 47 ways as a sum of consecutive naturals, for example, 117295 + ... + 117317.

It is an arithmetic number, because the mean of its divisors is an integer number (78000).

22698038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2698038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2698038 is an abundant number, since it is smaller than the sum of its proper divisors (4789962).

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

2698038 is a wasteful number, since it uses less digits than its factorization.

2698038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2698038 is about 1642.5705464302. The cubic root of 2698038 is about 139.2139279563.

The spelling of 2698038 in words is "two million, six hundred ninety-eight thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 38 42 46 49 57 63 69 98 114 126 133 138 147 161 171 207 266 294 322 342 343 399 414 437 441 483 686 798 874 882 931 966 1029 1127 1197 1311 1449 1862 2058 2254 2394 2622 2793 2898 3059 3087 3381 3933 5586 6118 6174 6517 6762 7866 7889 8379 9177 10143 13034 15778 16758 18354 19551 20286 21413 23667 27531 39102 42826 47334 55062 58653 64239 71001 117306 128478 142002 149891 192717 299782 385434 449673 899346 1349019 2698038