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197269072 = 2471113109113
BaseRepresentation
bin10111100001000…
…01011001010000
3111202012022021221
423300201121100
5401000102242
631324054424
74613521330
oct1360413120
9452168257
10197269072
11a13981a0
1256094414
1331b3c280
141c2b10c0
15124ba167
hexbc21650

197269072 has 160 divisors (see below), whose sum is σ = 522466560. Its totient is φ = 69672960.

The previous prime is 197269057. The next prime is 197269097. The reversal of 197269072 is 270962791.

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 31 ways as a sum of consecutive naturals, for example, 1745688 + ... + 1745800.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2197269072 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 197269072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

197269072 is an abundant number, since it is smaller than the sum of its proper divisors (325197488).

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

197269072 is a wasteful number, since it uses less digits than its factorization.

197269072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The square root of 197269072 is about 14045.2508699560. The cubic root of 197269072 is about 582.1295791275.

The spelling of 197269072 in words is "one hundred ninety-seven million, two hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 109 112 113 143 154 176 182 208 218 226 286 308 364 436 452 572 616 728 763 791 872 904 1001 1144 1199 1232 1243 1417 1456 1469 1526 1582 1744 1808 2002 2288 2398 2486 2834 2938 3052 3164 4004 4796 4972 5668 5876 6104 6328 8008 8393 8701 9592 9919 9944 10283 11336 11752 12208 12317 12656 15587 16016 16159 16786 17402 19184 19838 19888 20566 22672 23504 24634 31174 32318 33572 34804 39676 41132 49268 62348 64636 67144 69608 79352 82264 86219 98536 109109 113113 124696 129272 134288 135487 139216 158704 160121 164528 172438 197072 218218 226226 249392 258544 270974 320242 344876 436436 452452 541948 640484 689752 872872 904904 948409 1083896 1120847 1280968 1379504 1745744 1761331 1809808 1896818 2167792 2241694 2561936 3522662 3793636 4483388 7045324 7587272 8966776 12329317 14090648 15174544 17933552 24658634 28181296 49317268 98634536 197269072