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196294320 = 24335194783
BaseRepresentation
bin10111011001100…
…11011010110000
3111200100210012000
423230303122300
5400222404240
631251134000
74602321435
oct1354633260
9450323160
10196294320
11a0891912
12558a4300
133188a6b1
141c0d9b8c
1512376430
hexbb336b0

196294320 has 160 divisors (see below), whose sum is σ = 711859200. Its totient is φ = 49579776.

The previous prime is 196294313. The next prime is 196294363. The reversal of 196294320 is 23492691.

196294320 is a `hidden beast` number, since 1 + 9 + 629 + 4 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38649 + ... + 43431.

It is an arithmetic number, because the mean of its divisors is an integer number (4449120).

Almost surely, 2196294320 is an apocalyptic number.

196294320 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 196294320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355929600).

196294320 is an abundant number, since it is smaller than the sum of its proper divisors (515564880).

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

196294320 is a wasteful number, since it uses less digits than its factorization.

196294320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 196294320 is about 14010.5074854553. The cubic root of 196294320 is about 581.1691833528.

The spelling of 196294320 in words is "one hundred ninety-six million, two hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 4783 5130 6840 8208 9566 10260 13680 14349 19132 20520 23915 28698 38264 41040 43047 47830 57396 71745 76528 86094 90877 95660 114792 129141 143490 172188 181754 191320 215235 229584 258282 272631 286980 344376 363508 382640 430470 454385 516564 545262 573960 645705 688752 727016 817893 860940 908770 1033128 1090524 1147920 1291410 1363155 1454032 1635786 1721880 1817540 2066256 2181048 2453679 2582820 2726310 3271572 3443760 3635080 4089465 4362096 4907358 5165640 5452620 6543144 7270160 8178930 9814716 10331280 10905240 12268395 13086288 16357860 19629432 21810480 24536790 32715720 39258864 49073580 65431440 98147160 196294320