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197000720 = 2457617379
BaseRepresentation
bin10111011110111…
…11111000010000
3111201200200011222
423233133320100
5400413010340
631314224212
74611323060
oct1357377020
9451620158
10197000720
11a1224614
1255b85068
1331a77097
141c2413a0
15124658b5
hexbbdfe10

197000720 has 160 divisors (see below), whose sum is σ = 546155520. Its totient is φ = 64696320.

The previous prime is 197000719. The next prime is 197000723. The reversal of 197000720 is 27000791.

197000720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 197000720.

It is not an unprimeable number, because it can be changed into a prime (197000723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2493641 + ... + 2493719.

It is an arithmetic number, because the mean of its divisors is an integer number (3413472).

Almost surely, 2197000720 is an apocalyptic number.

197000720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273077760).

197000720 is an abundant number, since it is smaller than the sum of its proper divisors (349154800).

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

197000720 is a wasteful number, since it uses less digits than its factorization.

197000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 197000720 is about 14035.6944965328. The cubic root of 197000720 is about 581.8654956196.

The spelling of 197000720 in words is "one hundred ninety-seven million, seven hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 73 79 80 112 122 140 146 158 244 280 292 305 316 365 395 427 488 511 553 560 584 610 632 730 790 854 976 1022 1106 1168 1220 1264 1460 1580 1708 2044 2135 2212 2440 2555 2765 2920 3160 3416 4088 4270 4424 4453 4819 4880 5110 5530 5767 5840 6320 6832 8176 8540 8848 8906 9638 10220 11060 11534 17080 17812 19276 20440 22120 22265 23068 24095 28835 31171 33733 34160 35624 38552 40369 40880 44240 44530 46136 48190 57670 62342 67466 71248 77104 80738 89060 92272 96380 115340 124684 134932 155855 161476 168665 178120 192760 201845 230680 249368 269864 311710 322952 337330 351787 356240 385520 403690 461360 498736 539728 623420 645904 674660 703574 807380 1246840 1349320 1407148 1614760 1758935 2462509 2493680 2698640 2814296 3229520 3517870 4925018 5628592 7035740 9850036 12312545 14071480 19700072 24625090 28142960 39400144 49250180 98500360 197000720