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196635264 = 2737191383
BaseRepresentation
bin10111011100001…
…10101010000000
3111201000002212120
423232012222000
5400314312024
631302324240
74605241440
oct1356065200
9451002776
10196635264
11a0aa4a91
1255a29680
1331979937
141c188120
15123e2479
hexbb86a80

196635264 has 128 divisors (see below), whose sum is σ = 601620480. Its totient is φ = 55741440.

The previous prime is 196635233. The next prime is 196635287. The reversal of 196635264 is 462536691.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513217 + ... + 513599.

It is an arithmetic number, because the mean of its divisors is an integer number (4700160).

Almost surely, 2196635264 is an apocalyptic number.

196635264 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 196635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300810240).

196635264 is an abundant number, since it is smaller than the sum of its proper divisors (404985216).

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

196635264 is a wasteful number, since it uses less digits than its factorization.

196635264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 196635264 is about 14022.6696459697. The cubic root of 196635264 is about 581.5054667061.

The spelling of 196635264 in words is "one hundred ninety-six million, six hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 191 192 224 336 382 383 384 448 573 672 764 766 896 1146 1149 1337 1344 1528 1532 2292 2298 2674 2681 2688 3056 3064 4011 4584 4596 5348 5362 6112 6128 8022 8043 9168 9192 10696 10724 12224 12256 16044 16086 18336 18384 21392 21448 24448 24512 32088 32172 36672 36768 42784 42896 49024 64176 64344 73153 73344 73536 85568 85792 128352 128688 146306 147072 171136 171584 219459 256704 257376 292612 343168 438918 512071 513408 514752 585224 877836 1024142 1029504 1170448 1536213 1755672 2048284 2340896 3072426 3511344 4096568 4681792 6144852 7022688 8193136 9363584 12289704 14045376 16386272 24579408 28090752 32772544 49158816 65545088 98317632 196635264