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196415960 = 235131721307
BaseRepresentation
bin10111011010100…
…01000111011000
3111200120222001012
423231101013120
5400240302320
631253513052
74603336166
oct1355210730
9450528035
10196415960
11a0965244
1255942788
1331900b80
141c12c236
151239c4c5
hexbb511d8

196415960 has 96 divisors (see below), whose sum is σ = 505960560. Its totient is φ = 68204544.

The previous prime is 196415911. The next prime is 196415963. The reversal of 196415960 is 69514691.

196415960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196415963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149627 + ... + 150933.

Almost surely, 2196415960 is an apocalyptic number.

196415960 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 196415960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252980280).

196415960 is an abundant number, since it is smaller than the sum of its proper divisors (309544600).

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

196415960 is a wasteful number, since it uses less digits than its factorization.

196415960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 196415960 is about 14014.8478407723. The cubic root of 196415960 is about 581.2892052023.

The spelling of 196415960 in words is "one hundred ninety-six million, four hundred fifteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 289 340 442 520 578 680 884 1105 1156 1307 1445 1768 2210 2312 2614 2890 3757 4420 5228 5780 6535 7514 8840 10456 11560 13070 15028 16991 18785 22219 26140 30056 33982 37570 44438 52280 67964 75140 84955 88876 111095 135928 150280 169910 177752 222190 288847 339820 377723 444380 577694 679640 755446 888760 1155388 1444235 1510892 1888615 2310776 2888470 3021784 3777230 4910399 5776940 7554460 9820798 11553880 15108920 19641596 24551995 39283192 49103990 98207980 196415960