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196903680 = 2835471091
BaseRepresentation
bin10111011110010…
…00001100000000
3111201111202001220
423233020030000
5400401404210
631312155040
74610440131
oct1357101400
9451452056
10196903680
11a1168716
1255b38a80
1331a41b6c
141c217c88
1512446c70
hexbbc8300

196903680 has 144 divisors (see below), whose sum is σ = 642829824. Its totient is φ = 51343360.

The previous prime is 196903657. The next prime is 196903691. The reversal of 196903680 is 86309691.

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 15 ways as a sum of consecutive naturals, for example, 179935 + ... + 181025.

It is an arithmetic number, because the mean of its divisors is an integer number (4464096).

Almost surely, 2196903680 is an apocalyptic number.

196903680 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 196903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912).

196903680 is an abundant number, since it is smaller than the sum of its proper divisors (445926144).

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

196903680 is a wasteful number, since it uses less digits than its factorization.

196903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 196903680 is about 14032.2371701735. The cubic root of 196903680 is about 581.7699401289.

The spelling of 196903680 in words is "one hundred ninety-six million, nine hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 940 960 1091 1128 1280 1410 1504 1880 1920 2182 2256 2820 3008 3273 3760 3840 4364 4512 5455 5640 6016 6546 7520 8728 9024 10910 11280 12032 13092 15040 16365 17456 18048 21820 22560 26184 30080 32730 34912 36096 43640 45120 51277 52368 60160 65460 69824 87280 90240 102554 104736 130920 139648 153831 174560 180480 205108 209472 256385 261840 279296 307662 349120 410216 418944 512770 523680 615324 698240 769155 820432 837888 1025540 1047360 1230648 1396480 1538310 1640864 2051080 2094720 2461296 3076620 3281728 4102160 4189440 4922592 6153240 6563456 8204320 9845184 12306480 13126912 16408640 19690368 24612960 32817280 39380736 49225920 65634560 98451840 196903680