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6997914 = 235711217
BaseRepresentation
bin11010101100011110011010
3111011112100000
4122230132122
53242413124
6405553430
7113324040
oct32543632
914145300
106997914
113a4a700
122415876
1315b02a1
14d02390
159336c9
hex6ac79a

6997914 has 144 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 1710720.

The previous prime is 6997901. The next prime is 6997927. The reversal of 6997914 is 4197996.

It is an interprime number because it is at equal distance from previous prime (6997901) and next prime (6997927).

Its product of digits (122472) is a multiple of the sum of its prime factors (63).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6997914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 411634 + ... + 411650.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 26997914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6997914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

6997914 is an abundant number, since it is smaller than the sum of its proper divisors (13916070).

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

6997914 is a wasteful number, since it uses less digits than its factorization.

6997914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 6997914 is about 2645.3570647457. The cubic root of 6997914 is about 191.2741146063.

The spelling of 6997914 in words is "six million, nine hundred ninety-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 81 99 102 119 121 126 153 154 162 187 189 198 231 238 242 243 297 306 357 363 374 378 459 462 486 561 567 594 693 714 726 847 891 918 1071 1089 1122 1134 1309 1377 1386 1683 1694 1701 1782 2057 2079 2142 2178 2541 2618 2673 2754 3213 3267 3366 3402 3927 4114 4131 4158 5049 5082 5346 6171 6237 6426 6534 7623 7854 8262 9639 9801 10098 11781 12342 12474 14399 15147 15246 18513 18711 19278 19602 22869 23562 28798 28917 29403 30294 35343 37026 37422 43197 45441 45738 55539 57834 58806 68607 70686 86394 90882 106029 111078 129591 137214 166617 205821 212058 259182 318087 333234 388773 411642 499851 636174 777546 999702 1166319 2332638 3498957 6997914