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196443520 = 2757133373
BaseRepresentation
bin10111011010101…
…11110110000000
3111200122100211221
423231113312000
5400242143040
631254244424
74603512430
oct1355276600
9450570757
10196443520
11a0983a19
1255956714
1331910590
141c1382c0
15123a574a
hexbb57d80

196443520 has 128 divisors (see below), whose sum is σ = 578168640. Its totient is φ = 62152704.

The previous prime is 196443491. The next prime is 196443523. The reversal of 196443520 is 25344691.

It is a happy number.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196443523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56554 + ... + 59926.

Almost surely, 2196443520 is an apocalyptic number.

196443520 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 196443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289084320).

196443520 is an abundant number, since it is smaller than the sum of its proper divisors (381725120).

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

196443520 is a wasteful number, since it uses less digits than its factorization.

196443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 196443520 is about 14015.8310492100. The cubic root of 196443520 is about 581.3163916917.

The spelling of 196443520 in words is "one hundred ninety-six million, four hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3373 3640 4160 4480 5824 6746 7280 8320 11648 13492 14560 16865 23611 26984 29120 33730 43849 47222 53968 58240 67460 87698 94444 107936 118055 134920 175396 188888 215872 219245 236110 269840 306943 350792 377776 431744 438490 472220 539680 613886 701584 755552 876980 944440 1079360 1227772 1403168 1511104 1534715 1753960 1888880 2158720 2455544 2806336 3022208 3069430 3507920 3777760 4911088 5612672 6138860 7015840 7555520 9822176 12277720 14031680 15111040 19644352 24555440 28063360 39288704 49110880 98221760 196443520