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196901100 = 2232521119889
BaseRepresentation
bin10111011110001…
…11100011101100
3111201111121112100
423233013203230
5400401313400
631312135100
74610426454
oct1357074354
9451447470
10196901100
11a1166790
1255b37490
1331a40936
141c216d64
1512446100
hexbbc78ec

196901100 has 108 divisors (see below), whose sum is σ = 673316280. Its totient is φ = 47731200.

The previous prime is 196901099. The next prime is 196901129. The reversal of 196901100 is 1109691.

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 35 ways as a sum of consecutive naturals, for example, 45 + ... + 19844.

It is an arithmetic number, because the mean of its divisors is an integer number (6234410).

Almost surely, 2196901100 is an apocalyptic number.

196901100 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 196901100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336658140).

196901100 is an abundant number, since it is smaller than the sum of its proper divisors (476415180).

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

196901100 is a wasteful number, since it uses less digits than its factorization.

196901100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19920 (or 19910 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 196901100 is about 14032.1452387010. The cubic root of 196901100 is about 581.7673991691.

The spelling of 196901100 in words is "one hundred ninety-six million, nine hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 19889 39778 59667 79556 99445 119334 179001 198890 218779 238668 298335 358002 397780 437558 497225 596670 656337 716004 875116 895005 994450 1093895 1193340 1312674 1491675 1790010 1969011 1988900 2187790 2625348 2983350 3281685 3580020 3938022 4375580 4475025 5469475 5966700 6563370 7876044 8950050 9845055 10938950 13126740 16408425 17900100 19690110 21877900 32816850 39380220 49225275 65633700 98450550 196901100