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196530432 = 2837139263
BaseRepresentation
bin10111011011011…
…01000100000000
3111200210210001220
423231231010000
5400302433212
631300155040
74604324010
oct1355550400
9450723056
10196530432
11a0a3324a
1255998a80
1331940cc7
141c15bc40
15123c138c
hexbb6d100

196530432 has 144 divisors (see below), whose sum is σ = 604369920. Its totient is φ = 55535616.

The previous prime is 196530409. The next prime is 196530437. The reversal of 196530432 is 234035691.

It is a junction number, because it is equal to n+sod(n) for n = 196530393 and 196530402.

It is not an unprimeable number, because it can be changed into a prime (196530437) 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, 747133 + ... + 747395.

Almost surely, 2196530432 is an apocalyptic number.

196530432 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 196530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302184960).

196530432 is an abundant number, since it is smaller than the sum of its proper divisors (407839488).

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

196530432 is a wasteful number, since it uses less digits than its factorization.

196530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 196530432 is about 14018.9312003448. The cubic root of 196530432 is about 581.4021091558.

The spelling of 196530432 in words is "one hundred ninety-six million, five hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 139 168 192 224 256 263 278 336 384 417 448 526 556 672 768 789 834 896 973 1052 1112 1344 1578 1668 1792 1841 1946 2104 2224 2688 2919 3156 3336 3682 3892 4208 4448 5376 5523 5838 6312 6672 7364 7784 8416 8896 11046 11676 12624 13344 14728 15568 16832 17792 22092 23352 25248 26688 29456 31136 33664 35584 36557 44184 46704 50496 53376 58912 62272 67328 73114 88368 93408 100992 106752 109671 117824 124544 146228 176736 186816 201984 219342 235648 249088 255899 292456 353472 373632 438684 471296 511798 584912 706944 747264 767697 877368 1023596 1169824 1413888 1535394 1754736 2047192 2339648 3070788 3509472 4094384 4679296 6141576 7018944 8188768 9358592 12283152 14037888 16377536 24566304 28075776 32755072 49132608 65510144 98265216 196530432