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97203260 = 225721171127
BaseRepresentation
bin1011100101100…
…11010000111100
320202220102210202
411302303100330
5144341001020
613351223032
72260133300
oct562632074
9222812722
1097203260
114a961280
1228677a78
13171a482b
14cca3d00
158800e75
hex5cb343c

97203260 has 144 divisors (see below), whose sum is σ = 264757248. Its totient is φ = 29635200.

The previous prime is 97203217. The next prime is 97203283. The reversal of 97203260 is 6230279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765317 + ... + 765443.

It is an arithmetic number, because the mean of its divisors is an integer number (1838592).

Almost surely, 297203260 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 97203260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

97203260 is an abundant number, since it is smaller than the sum of its proper divisors (167553988).

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

97203260 is a wasteful number, since it uses less digits than its factorization.

97203260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 97203260 is about 9859.1713647750. The cubic root of 97203260 is about 459.7907996436.

The spelling of 97203260 in words is "ninety-seven million, two hundred three thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 71 77 98 110 127 140 142 154 196 220 245 254 284 308 355 385 490 497 508 539 635 710 770 781 889 980 994 1078 1270 1397 1420 1540 1562 1778 1988 2156 2485 2540 2695 2794 3124 3479 3556 3905 4445 4970 5390 5467 5588 6223 6958 6985 7810 8890 9017 9779 9940 10780 10934 12446 13916 13970 15620 17395 17780 18034 19558 21868 24892 27335 27940 31115 34790 36068 38269 39116 45085 48895 54670 62230 63119 68453 69580 76538 90170 97790 99187 109340 124460 126238 136906 153076 180340 191345 195580 198374 252476 273812 315595 342265 382690 396748 441833 495935 631190 684530 694309 765380 883666 991870 1262380 1369060 1388618 1767332 1983740 2209165 2777236 3471545 4418330 4860163 6943090 8836660 9720326 13886180 19440652 24300815 48601630 97203260