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997072146 = 233753157317
BaseRepresentation
bin111011011011100…
…001110100010010
32120111011111212000
4323123201310102
54020222302041
6242534414430
733464654610
oct7333416422
92514144760
10997072146
11471904074
12239b01416
1312b753625
14965c86b0
155c803bb6
hex3b6e1d12

997072146 has 128 divisors (see below), whose sum is σ = 2604648960. Its totient is φ = 276846336.

The previous prime is 997072129. The next prime is 997072157. The reversal of 997072146 is 641270799.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3145180 + ... + 3145496.

It is an arithmetic number, because the mean of its divisors is an integer number (20348820).

Almost surely, 2997072146 is an apocalyptic number.

997072146 is the 19971-st heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997072146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302324480).

997072146 is an abundant number, since it is smaller than the sum of its proper divisors (1607576814).

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

997072146 is a wasteful number, since it uses less digits than its factorization.

997072146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 997072146 is about 31576.4492303995. The cubic root of 997072146 is about 999.0230946333.

The spelling of 997072146 in words is "nine hundred ninety-seven million, seventy-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 157 159 189 314 317 318 371 378 471 477 634 742 942 951 954 1099 1113 1413 1431 1902 2198 2219 2226 2826 2853 2862 3297 3339 4239 4438 5706 6594 6657 6678 8321 8478 8559 9891 10017 13314 16642 16801 17118 19782 19971 20034 24963 29673 33602 39942 49769 49926 50403 58247 59346 59913 74889 99538 100806 116494 117607 119826 149307 149778 151209 174741 224667 235214 298614 302418 348383 349482 352821 447921 449334 453627 524223 696766 705642 895842 907254 1045149 1048446 1058463 1343763 1572669 2090298 2116926 2637757 2687526 3135447 3145338 3175389 5275514 6270894 6350778 7913271 9406341 15826542 18464299 18812682 23739813 36928598 47479626 55392897 71219439 110785794 142438878 166178691 332357382 498536073 997072146