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196082128 = 241119191307
BaseRepresentation
bin10111010111111…
…11100111010000
3111122222000010001
423223333213100
5400144112003
631242415344
74600446004
oct1353774720
9448860101
10196082128
11a0757450
1255801554
1331814c38
141c082704
151233361d
hexbaff9d0

196082128 has 80 divisors (see below), whose sum is σ = 439971840. Its totient is φ = 83721600.

The previous prime is 196082113. The next prime is 196082189. The reversal of 196082128 is 821280691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638551 + ... + 638857.

It is an arithmetic number, because the mean of its divisors is an integer number (5499648).

Almost surely, 2196082128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196082128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

196082128 is an abundant number, since it is smaller than the sum of its proper divisors (243889712).

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

196082128 is a wasteful number, since it uses less digits than its factorization.

196082128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 196082128 is about 14002.9328356598. The cubic root of 196082128 is about 580.9596953525.

It can be divided in two parts, 19608 and 2128, that added together give a triangular number (21736 = T208).

The spelling of 196082128 in words is "one hundred ninety-six million, eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 191 209 304 307 382 418 614 764 836 1228 1528 1672 2101 2456 3056 3344 3377 3629 4202 4912 5833 6754 7258 8404 11666 13508 14516 16808 23332 27016 29032 33616 39919 46664 54032 58064 58637 64163 79838 93328 117274 128326 159676 234548 256652 319352 469096 513304 638704 645007 938192 1026608 1114103 1290014 2228206 2580028 4456412 5160056 8912824 10320112 12255133 17825648 24510266 49020532 98041064 196082128