Search a number
-
+
196194432 = 2737210427
BaseRepresentation
bin10111011000110…
…11000010000000
3111200011201011110
423230123002000
5400211210212
631245043320
74601424300
oct1354330200
9450151143
10196194432
11a0823865
1255856540
13318540a5
141c0b1600
1512356a3c
hexbb1b080

196194432 has 96 divisors (see below), whose sum is σ = 606283920. Its totient is φ = 56050176.

The previous prime is 196194421. The next prime is 196194473. The reversal of 196194432 is 234491691.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13603 + ... + 24029.

Almost surely, 2196194432 is an apocalyptic number.

196194432 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 196194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303141960).

196194432 is an abundant number, since it is smaller than the sum of its proper divisors (410089488).

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

196194432 is a wasteful number, since it uses less digits than its factorization.

196194432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10458 (or 10439 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 196194432 is about 14006.9422787416. The cubic root of 196194432 is about 581.0705870594.

The spelling of 196194432 in words is "one hundred ninety-six million, one hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 10427 18816 20854 31281 41708 62562 72989 83416 125124 145978 166832 218967 250248 291956 333664 437934 500496 510923 583912 667328 875868 1000992 1021846 1167824 1334656 1532769 1751736 2001984 2043692 2335648 3065538 3503472 4003968 4087384 4671296 6131076 7006944 8174768 9342592 12262152 14013888 16349536 24524304 28027776 32699072 49048608 65398144 98097216 196194432