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196180992 = 2103273041
BaseRepresentation
bin10111011000101…
…11110000000000
3111200011000201200
423230113300000
5400210242432
631244501200
74601340150
oct1354276000
9450130650
10196180992
11a0814757
125584a800
133184ac37
141c0aa760
1512352a7c
hexbb17c00

196180992 has 132 divisors (see below), whose sum is σ = 647605296. Its totient is φ = 56033280.

The previous prime is 196180981. The next prime is 196181017. The reversal of 196180992 is 299081691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62992 + ... + 66032.

Almost surely, 2196180992 is an apocalyptic number.

196180992 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 196180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323802648).

196180992 is an abundant number, since it is smaller than the sum of its proper divisors (451424304).

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

196180992 is a wasteful number, since it uses less digits than its factorization.

196180992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 196180992 is about 14006.4625084280. The cubic root of 196180992 is about 581.0573183053.

The spelling of 196180992 in words is "one hundred ninety-six million, one hundred eighty thousand, nine hundred ninety-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 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3041 3072 3584 4032 4608 5376 6082 7168 8064 9123 9216 10752 12164 16128 18246 21287 21504 24328 27369 32256 36492 42574 48656 54738 63861 64512 72984 85148 97312 109476 127722 145968 170296 191583 194624 218952 255444 291936 340592 383166 389248 437904 510888 583872 681184 766332 778496 875808 1021776 1167744 1362368 1532664 1556992 1751616 2043552 2335488 2724736 3065328 3113984 3503232 4087104 4670976 5449472 6130656 7006464 8174208 9341952 10898944 12261312 14012928 16348416 21797888 24522624 28025856 32696832 49045248 65393664 98090496 196180992