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196686336 = 2937111663
BaseRepresentation
bin10111011100100…
…11001000000000
3111201002200221010
423232103020000
5400322430321
631303400520
74605543360
oct1356231000
9451080833
10196686336
11a102a3a0
1255a53140
1331996c62
141c19c9a0
1512402676
hexbb93200

196686336 has 160 divisors (see below), whose sum is σ = 653672448. Its totient is φ = 51056640.

The previous prime is 196686319. The next prime is 196686337. The reversal of 196686336 is 633686691.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196686337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117441 + ... + 119103.

Almost surely, 2196686336 is an apocalyptic number.

196686336 is a gapful number since it is divisible by the number (16) 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 196686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326836224).

196686336 is an abundant number, since it is smaller than the sum of its proper divisors (456986112).

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

196686336 is a wasteful number, since it uses less digits than its factorization.

196686336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1686 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 196686336 is about 14024.4905789836. The cubic root of 196686336 is about 581.5558070770. Note that the first 3 decimals are identical.

The spelling of 196686336 in words is "one hundred ninety-six million, six hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1663 1792 1848 2112 2464 2688 2816 3326 3584 3696 4224 4928 4989 5376 5632 6652 7392 8448 9856 9978 10752 11641 13304 14784 16896 18293 19712 19956 23282 26608 29568 34923 36586 39424 39912 46564 53216 54879 59136 69846 73172 79824 93128 106432 109758 118272 128051 139692 146344 159648 186256 212864 219516 256102 279384 292688 319296 372512 384153 425728 439032 512204 558768 585376 638592 745024 768306 851456 878064 1024408 1117536 1170752 1277184 1490048 1536612 1756128 2048816 2235072 2341504 2554368 2980096 3073224 3512256 4097632 4470144 4683008 5960192 6146448 7024512 8195264 8940288 9366016 12292896 14049024 16390528 17880576 24585792 28098048 32781056 49171584 65562112 98343168 196686336