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195406128 = 2433452329
BaseRepresentation
bin10111010010110…
…10100100110000
3111121200122211000
423221122210300
5400010444003
631220122000
74561632111
oct1351324460
9447618730
10195406128
11a0335575
1255536300
1331639338
141bd48208
151224d1a3
hexba5a930

195406128 has 40 divisors (see below), whose sum is σ = 560889200. Its totient is φ = 65135232.

The previous prime is 195406117. The next prime is 195406157. The reversal of 195406128 is 821604591.

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

It is a junction number, because it is equal to n+sod(n) for n = 195406092 and 195406101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225733 + ... + 226596.

It is an arithmetic number, because the mean of its divisors is an integer number (14022230).

Almost surely, 2195406128 is an apocalyptic number.

195406128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

195406128 is an abundant number, since it is smaller than the sum of its proper divisors (365483072).

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

195406128 is a wasteful number, since it uses less digits than its factorization.

195406128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452346 (or 452334 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 195406128 is about 13978.7741951861. The cubic root of 195406128 is about 580.2913003627.

The spelling of 195406128 in words is "one hundred ninety-five million, four hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 452329 904658 1356987 1809316 2713974 3618632 4070961 5427948 7237264 8141922 10855896 12212883 16283844 21711792 24425766 32567688 48851532 65135376 97703064 195406128