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196823424 = 2737371979
BaseRepresentation
bin10111011101101…
…00100110000000
3111201100122222110
423232310212000
5400341322144
631310335320
74606654140
oct1356644600
9451318873
10196823424
11a1113396
1255aba540
1331a14485
141c1d6920
151242d0b9
hexbbb4980

196823424 has 128 divisors (see below), whose sum is σ = 613958400. Its totient is φ = 54687744.

The previous prime is 196823423. The next prime is 196823437. The reversal of 196823424 is 424328691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196823423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98467 + ... + 100445.

It is an arithmetic number, because the mean of its divisors is an integer number (4796550).

Almost surely, 2196823424 is an apocalyptic number.

196823424 is a gapful number since it is divisible by the number (14) 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 196823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306979200).

196823424 is an abundant number, since it is smaller than the sum of its proper divisors (417134976).

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

196823424 is a wasteful number, since it uses less digits than its factorization.

196823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2028 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 196823424 is about 14029.3771779078. The cubic root of 196823424 is about 581.6908881557.

The spelling of 196823424 in words is "one hundred ninety-six million, eight hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 259 296 336 384 444 448 518 592 672 777 888 896 1036 1184 1344 1554 1776 1979 2072 2368 2688 3108 3552 3958 4144 4736 5937 6216 7104 7916 8288 11874 12432 13853 14208 15832 16576 23748 24864 27706 31664 33152 41559 47496 49728 55412 63328 73223 83118 94992 99456 110824 126656 146446 166236 189984 219669 221648 253312 292892 332472 379968 439338 443296 512561 585784 664944 759936 878676 886592 1025122 1171568 1329888 1537683 1757352 1773184 2050244 2343136 2659776 3075366 3514704 4100488 4686272 5319552 6150732 7029408 8200976 9372544 12301464 14058816 16401952 24602928 28117632 32803904 49205856 65607808 98411712 196823424