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128093922 = 232113141509
BaseRepresentation
bin1111010001010…
…00111011100010
322221000211211100
413220220323202
5230243001142
620413255230
73113531445
oct750507342
9287024740
10128093922
116633a950
1236a94516
13206cc028
141302565c
15b3a3b4c
hex7a28ee2

128093922 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 36576000.

The previous prime is 128093879. The next prime is 128093939. The reversal of 128093922 is 229390821.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251404 + ... + 251912.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2128093922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128093922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

128093922 is an abundant number, since it is smaller than the sum of its proper divisors (192691998).

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

128093922 is a wasteful number, since it uses less digits than its factorization.

128093922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 128093922 is about 11317.8585430284. The cubic root of 128093922 is about 504.0916547219.

The spelling of 128093922 in words is "one hundred twenty-eight million, ninety-three thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 41 62 66 82 93 99 123 186 198 246 279 341 369 451 509 558 682 738 902 1018 1023 1271 1353 1527 2046 2542 2706 3054 3069 3813 4059 4581 5599 6138 7626 8118 9162 11198 11439 13981 15779 16797 20869 22878 27962 31558 33594 41738 41943 47337 50391 62607 83886 94674 100782 125214 125829 142011 173569 187821 229559 251658 284022 347138 375642 459118 520707 646939 688677 1041414 1293878 1377354 1562121 1940817 2066031 3124242 3881634 4132062 5822451 7116329 11644902 14232658 21348987 42697974 64046961 128093922