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196965560 = 235112319463
BaseRepresentation
bin10111011110101…
…11010010111000
3111201121212221202
423233113102320
5400410344220
631313353332
74611115421
oct1357272270
9451555852
10196965560
11a1200160
1255b68848
1331a6408c
141c232648
151245a275
hexbbd74b8

196965560 has 64 divisors (see below), whose sum is σ = 504506880. Its totient is φ = 68506240.

The previous prime is 196965551. The next prime is 196965569. The reversal of 196965560 is 65569691.

It is an interprime number because it is at equal distance from previous prime (196965551) and next prime (196965569).

It is a super-2 number, since 2×1969655602 = 77590863652227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196965569) 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 15 ways as a sum of consecutive naturals, for example, 389 + ... + 19851.

It is an arithmetic number, because the mean of its divisors is an integer number (7882920).

Almost surely, 2196965560 is an apocalyptic number.

196965560 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 196965560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252253440).

196965560 is an abundant number, since it is smaller than the sum of its proper divisors (307541320).

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

196965560 is a wasteful number, since it uses less digits than its factorization.

196965560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19508 (or 19504 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 47.

The square root of 196965560 is about 14034.4419197915. The cubic root of 196965560 is about 581.8308771200.

The spelling of 196965560 in words is "one hundred ninety-six million, nine hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 19463 38926 77852 97315 155704 194630 214093 389260 428186 447649 778520 856372 895298 1070465 1712744 1790596 2140930 2238245 3581192 4281860 4476490 4924139 8563720 8952980 9848278 17905960 19696556 24620695 39393112 49241390 98482780 196965560