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190706656 = 2576797131
BaseRepresentation
bin10110101110111…
…11001111100000
3111021211220100111
423113133033200
5342310103111
630531301104
74503660040
oct1327371740
9437756314
10190706656
1198715808
1253a4a794
133068229a
141b483720
1511b20a21
hexb5df3e0

190706656 has 96 divisors (see below), whose sum is σ = 443342592. Its totient is φ = 79073280.

The previous prime is 190706651. The next prime is 190706657. The reversal of 190706656 is 656607091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190706651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455711 + ... + 1455841.

It is an arithmetic number, because the mean of its divisors is an integer number (4618152).

Almost surely, 2190706656 is an apocalyptic number.

190706656 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 190706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221671296).

190706656 is an abundant number, since it is smaller than the sum of its proper divisors (252635936).

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

190706656 is a wasteful number, since it uses less digits than its factorization.

190706656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 190706656 is about 13809.6580696265. The cubic root of 190706656 is about 575.6015441279.

The spelling of 190706656 in words is "one hundred ninety million, seven hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 97 112 131 134 194 224 262 268 388 469 524 536 679 776 917 938 1048 1072 1358 1552 1834 1876 2096 2144 2716 3104 3668 3752 4192 5432 6499 7336 7504 8777 10864 12707 12998 14672 15008 17554 21728 25414 25996 29344 35108 45493 50828 51992 61439 70216 88949 90986 101656 103984 122878 140432 177898 181972 203312 207968 245756 280864 355796 363944 406624 491512 711592 727888 851369 983024 1423184 1455776 1702738 1966048 2846368 3405476 5959583 6810952 11919166 13621904 23838332 27243808 47676664 95353328 190706656