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190686912 = 26313241317
BaseRepresentation
bin10110101110110…
…10011011000000
3111021210220021020
423113122123000
5342303440122
630531025440
74503545343
oct1327323300
9437726236
10190686912
1198701999
1253a3b280
13306762c0
141b47a45a
1511b19c5c
hexb5da6c0

190686912 has 112 divisors (see below), whose sum is σ = 547311072. Its totient is φ = 58245120.

The previous prime is 190686911. The next prime is 190686913. The reversal of 190686912 is 219686091.

190686912 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190686911) and next prime (190686913).

It is a super-2 number, since 2×1906869122 = 72722996816191488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190686911) 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, 601378 + ... + 601694.

It is an arithmetic number, because the mean of its divisors is an integer number (4886706).

Almost surely, 2190686912 is an apocalyptic number.

190686912 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 190686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273655536).

190686912 is an abundant number, since it is smaller than the sum of its proper divisors (356624160).

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

190686912 is a wasteful number, since it uses less digits than its factorization.

190686912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 190686912 is about 13808.9431891076. The cubic root of 190686912 is about 575.5816792923.

The spelling of 190686912 in words is "one hundred ninety million, six hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 241 312 317 416 482 624 634 723 832 951 964 1248 1268 1446 1902 1928 2496 2536 2892 3133 3804 3856 4121 5072 5784 6266 7608 7712 8242 9399 10144 11568 12363 12532 15216 15424 16484 18798 20288 23136 24726 25064 30432 32968 37596 46272 49452 50128 60864 65936 75192 76397 98904 100256 131872 150384 152794 197808 200512 229191 263744 300768 305588 395616 458382 601536 611176 791232 916764 993161 1222352 1833528 1986322 2444704 2979483 3667056 3972644 4889408 5958966 7334112 7945288 11917932 14668224 15890576 23835864 31781152 47671728 63562304 95343456 190686912