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190056384 = 2632747137
BaseRepresentation
bin10110101010000…
…00011111000000
3111020121212100100
423111000133000
5342123301014
630505322400
74465311150
oct1325003700
9436555310
10190056384
11983111a1
1253796400
13304b52cb
141b354760
1511a43009
hexb5407c0

190056384 has 84 divisors (see below), whose sum is σ = 622598704. Its totient is φ = 54300672.

The previous prime is 190056367. The next prime is 190056397. The reversal of 190056384 is 483650091.

190056384 is a `hidden beast` number, since 1 + 90 + 0 + 563 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1900563842 = 72242858198310912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 19537 + ... + 27600.

Almost surely, 2190056384 is an apocalyptic number.

190056384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

190056384 is an abundant number, since it is smaller than the sum of its proper divisors (432542320).

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

190056384 is a wasteful number, since it uses less digits than its factorization.

190056384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47162 (or 47149 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 190056384 is about 13786.0938630201. The cubic root of 190056384 is about 574.9465699566.

The spelling of 190056384 in words is "one hundred ninety million, fifty-six thousand, three hundred eighty-four".

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 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 47137 94274 141411 188548 282822 329959 377096 424233 565644 659918 754192 848466 989877 1131288 1319836 1508384 1696932 1979754 2262576 2639672 2969631 3016768 3393864 3959508 4525152 5279344 5939262 6787728 7919016 9050304 10558688 11878524 13575456 15838032 21117376 23757048 27150912 31676064 47514096 63352128 95028192 190056384