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196213680 = 243251320963
BaseRepresentation
bin10111011000111…
…11101110110000
3111200012200120100
423230133232300
5400212314210
631245312400
74601534355
oct1354375660
9450180510
10196213680
11a0837273
1255865700
133185ca90
141c0b862c
151235c5c0
hexbb1fbb0

196213680 has 120 divisors (see below), whose sum is σ = 709673328. Its totient is φ = 48296448.

The previous prime is 196213679. The next prime is 196213691. The reversal of 196213680 is 86312691.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1122 + ... + 19841.

Almost surely, 2196213680 is an apocalyptic number.

196213680 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 196213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354836664).

196213680 is an abundant number, since it is smaller than the sum of its proper divisors (513459648).

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

196213680 is a wasteful number, since it uses less digits than its factorization.

196213680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20995 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 196213680 is about 14007.6293497508. The cubic root of 196213680 is about 581.0895887555.

The spelling of 196213680 in words is "one hundred ninety-six million, two hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 20963 41926 62889 83852 104815 125778 167704 188667 209630 251556 272519 314445 335408 377334 419260 503112 545038 628890 754668 817557 838520 943335 1006224 1090076 1257780 1362595 1509336 1635114 1677040 1886670 2180152 2452671 2515560 2725190 3018672 3270228 3773340 4087785 4360304 4905342 5031120 5450380 6540456 7546680 8175570 9810684 10900760 12263355 13080912 15093360 16351140 19621368 21801520 24526710 32702280 39242736 49053420 65404560 98106840 196213680