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197114940 = 2232511113881
BaseRepresentation
bin10111011111110…
…11110000111100
3111201220110212100
423233323300330
5400430134230
631320505100
74612310061
oct1357736074
9451813770
10197114940
11a12a2410
125601b190
1331ab7079
141c270c68
1512489660
hexbbfbc3c

197114940 has 144 divisors (see below), whose sum is σ = 658790496. Its totient is φ = 47308800.

The previous prime is 197114923. The next prime is 197114959. The reversal of 197114940 is 49411791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 197114895 and 197114904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223300 + ... + 224180.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2197114940 is an apocalyptic number.

197114940 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 197114940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329395248).

197114940 is an abundant number, since it is smaller than the sum of its proper divisors (461675556).

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

197114940 is a wasteful number, since it uses less digits than its factorization.

197114940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 197114940 is about 14039.7628185094. The cubic root of 197114940 is about 581.9779280962.

The spelling of 197114940 in words is "one hundred ninety-seven million, one hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 113 132 165 180 198 220 226 330 339 396 452 495 565 660 678 881 990 1017 1130 1243 1356 1695 1762 1980 2034 2260 2486 2643 3390 3524 3729 4068 4405 4972 5085 5286 6215 6780 7458 7929 8810 9691 10170 10572 11187 12430 13215 14916 15858 17620 18645 19382 20340 22374 24860 26430 29073 31716 37290 38764 39645 44748 48455 52860 55935 58146 74580 79290 87219 96910 99553 111870 116292 145365 158580 174438 193820 199106 223740 290730 298659 348876 398212 436095 497765 581460 597318 872190 895977 995530 1095083 1194636 1493295 1744380 1791954 1991060 2190166 2986590 3285249 3583908 4380332 4479885 5475415 5973180 6570498 8959770 9855747 10950830 13140996 16426245 17919540 19711494 21901660 32852490 39422988 49278735 65704980 98557470 197114940