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196288620 = 2235112191423
BaseRepresentation
bin10111011001100…
…10000001101100
3111200100111100220
423230302001230
5400222213440
631251051340
74602266013
oct1354620154
9450314326
10196288620
11a0888600
12558a0b50
1331887c18
141c0d7a7a
15123748d0
hexbb3206c

196288620 has 144 divisors (see below), whose sum is σ = 636357120. Its totient is φ = 45048960.

The previous prime is 196288597. The next prime is 196288643. The reversal of 196288620 is 26882691.

It is an interprime number because it is at equal distance from previous prime (196288597) and next prime (196288643).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 137229 + ... + 138651.

Almost surely, 2196288620 is an apocalyptic number.

196288620 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 196288620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318178560).

196288620 is an abundant number, since it is smaller than the sum of its proper divisors (440068500).

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

196288620 is a wasteful number, since it uses less digits than its factorization.

196288620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 196288620 is about 14010.3040652229. The cubic root of 196288620 is about 581.1635579626.

The spelling of 196288620 in words is "one hundred ninety-six million, two hundred eighty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1423 1452 1815 2090 2299 2420 2508 2846 3135 3630 4180 4269 4598 5692 6270 6897 7115 7260 8538 9196 11495 12540 13794 14230 15653 17076 21345 22990 27037 27588 28460 31306 34485 42690 45980 46959 54074 62612 68970 78265 81111 85380 93918 108148 135185 137940 156530 162222 172183 187836 234795 270370 297407 313060 324444 344366 405555 469590 516549 540740 594814 688732 811110 860915 892221 939180 1033098 1189628 1487035 1622220 1721830 1784442 2066196 2582745 2974070 3271477 3443660 3568884 4461105 5165490 5948140 6542954 8922210 9814431 10330980 13085908 16357385 17844420 19628862 32714770 39257724 49072155 65429540 98144310 196288620