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119681928 = 23334711789
BaseRepresentation
bin1110010001000…
…11001110001000
322100012110202000
413020203032020
5221114310203
615513111000
72652164622
oct710431610
9270173660
10119681928
1161614893
12340b8460
131ba45212
1411c75c12
15a7914a3
hex7223388

119681928 has 64 divisors (see below), whose sum is σ = 339552000. Its totient is φ = 39041856.

The previous prime is 119681873. The next prime is 119681929. The reversal of 119681928 is 829186911.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (119681929) 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, 4258 + ... + 16046.

It is an arithmetic number, because the mean of its divisors is an integer number (5305500).

Almost surely, 2119681928 is an apocalyptic number.

119681928 is a gapful number since it is divisible by the number (18) 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 119681928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169776000).

119681928 is an abundant number, since it is smaller than the sum of its proper divisors (219870072).

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

119681928 is a wasteful number, since it uses less digits than its factorization.

119681928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11841 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 119681928 is about 10939.9235829141. The cubic root of 119681928 is about 492.8062331428.

The spelling of 119681928 in words is "one hundred nineteen million, six hundred eighty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 11789 23578 35367 47156 70734 94312 106101 141468 212202 282936 318303 424404 554083 636606 848808 1108166 1273212 1662249 2216332 2546424 3324498 4432664 4986747 6648996 9973494 13297992 14960241 19946988 29920482 39893976 59840964 119681928