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196866432 = 2732724413
BaseRepresentation
bin10111011101111…
…11000110000000
3111201102211222100
423232333012000
5400344211212
631311310400
74610223420
oct1356770600
9451384870
10196866432
11a1142734
1255b1b400
1331a2ac19
141c208480
151243abdc
hexbbbf180

196866432 has 96 divisors (see below), whose sum is σ = 647459280. Its totient is φ = 56245248.

The previous prime is 196866419. The next prime is 196866437. The reversal of 196866432 is 234668691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196866437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4143 + ... + 20270.

Almost surely, 2196866432 is an apocalyptic number.

196866432 is a gapful number since it is divisible by the number (12) 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 196866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323729640).

196866432 is an abundant number, since it is smaller than the sum of its proper divisors (450592848).

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

196866432 is a wasteful number, since it uses less digits than its factorization.

196866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24440 (or 24425 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 196866432 is about 14030.9098778376. The cubic root of 196866432 is about 581.7332536074.

The spelling of 196866432 in words is "one hundred ninety-six million, eight hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 24413 48826 73239 97652 146478 170891 195304 219717 292956 341782 390608 439434 512673 585912 683564 781216 878868 1025346 1171824 1367128 1538019 1562432 1757736 2050692 2343648 2734256 3076038 3124864 3515472 4101384 4687296 5468512 6152076 7030944 8202768 9374592 10937024 12304152 14061888 16405536 21874048 24608304 28123776 32811072 49216608 65622144 98433216 196866432