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196889680 = 24513312197
BaseRepresentation
bin10111011110001…
…00110001010000
3111201111000212101
423233010301100
5400400432210
631312010144
74610351251
oct1357046120
9451430771
10196889680
11a1159149
1255b30954
1331a38690
141c212b28
1512442a3a
hexbbc4c50

196889680 has 120 divisors (see below), whose sum is σ = 511982856. Its totient is φ = 69995520.

The previous prime is 196889677. The next prime is 196889681. The reversal of 196889680 is 86988691.

It can be written as a sum of positive squares in 4 ways, for example, as 36917776 + 159971904 = 6076^2 + 12648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196889681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999342 + ... + 999538.

Almost surely, 2196889680 is an apocalyptic number.

196889680 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 196889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255991428).

196889680 is an abundant number, since it is smaller than the sum of its proper divisors (315093176).

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

196889680 is a wasteful number, since it uses less digits than its factorization.

196889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The square root of 196889680 is about 14031.7383099885. The cubic root of 196889680 is about 581.7561517084.

The spelling of 196889680 in words is "one hundred ninety-six million, eight hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 197 208 248 260 310 394 403 496 520 620 788 806 961 985 1040 1240 1576 1612 1922 1970 2015 2480 2561 3152 3224 3844 3940 4030 4805 5122 6107 6448 7688 7880 8060 9610 10244 12214 12493 12805 15376 15760 16120 19220 20488 24428 24986 25610 30535 32240 38440 40976 48856 49972 51220 61070 62465 76880 79391 97712 99944 102440 122140 124930 158782 189317 199888 204880 244280 249860 317564 378634 396955 488560 499720 635128 757268 793910 946585 999440 1270256 1514536 1587820 1893170 2461121 3029072 3175640 3786340 4922242 6351280 7572680 9844484 12305605 15145360 19688968 24611210 39377936 49222420 98444840 196889680