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196870320 = 243251272153
BaseRepresentation
bin10111011110000…
…00000010110000
3111201110001022100
423233000002300
5400344322240
631311340400
74610240643
oct1357000260
9451401270
10196870320
11a1145649
1255b21700
1331a2c91a
141c209a5a
151243be30
hexbbc00b0

196870320 has 120 divisors (see below), whose sum is σ = 666671616. Its totient is φ = 52061184.

The previous prime is 196870313. The next prime is 196870361. The reversal of 196870320 is 23078691.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90364 + ... + 92516.

Almost surely, 2196870320 is an apocalyptic number.

196870320 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 196870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333335808).

196870320 is an abundant number, since it is smaller than the sum of its proper divisors (469801296).

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

196870320 is a wasteful number, since it uses less digits than its factorization.

196870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 196870320 is about 14031.0484283962. The cubic root of 196870320 is about 581.7370832157.

The spelling of 196870320 in words is "one hundred ninety-six million, eight hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 508 635 720 762 1016 1143 1270 1524 1905 2032 2153 2286 2540 3048 3810 4306 4572 5080 5715 6096 6459 7620 8612 9144 10160 10765 11430 12918 15240 17224 18288 19377 21530 22860 25836 30480 32295 34448 38754 43060 45720 51672 64590 77508 86120 91440 96885 103344 129180 155016 172240 193770 258360 273431 310032 387540 516720 546862 775080 820293 1093724 1367155 1550160 1640586 2187448 2460879 2734310 3281172 4101465 4374896 4921758 5468620 6562344 8202930 9843516 10937240 12304395 13124688 16405860 19687032 21874480 24608790 32811720 39374064 49217580 65623440 98435160 196870320