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195804672 = 293718211
BaseRepresentation
bin10111010101110…
…11111000000000
3111122102220111220
423222323320000
5400111222142
631232435040
74565212050
oct1352737000
9448386456
10195804672
11a0587a48
12556a8a80
133174886b
141c00d560
15122cb2ec
hexbabbe00

195804672 has 80 divisors (see below), whose sum is σ = 596188032. Its totient is φ = 55941120.

The previous prime is 195804641. The next prime is 195804677. The reversal of 195804672 is 276408591.

195804672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195804677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1647 + ... + 19857.

Almost surely, 2195804672 is an apocalyptic number.

195804672 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 195804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298094016).

195804672 is an abundant number, since it is smaller than the sum of its proper divisors (400383360).

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

195804672 is an equidigital number, since it uses as much as digits as its factorization.

195804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18239 (or 18223 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 195804672 is about 13993.0222611129. The cubic root of 195804672 is about 580.6855468907.

The spelling of 195804672 in words is "one hundred ninety-five million, eight hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 18211 36422 54633 72844 109266 127477 145688 218532 254954 291376 382431 437064 509908 582752 764862 874128 1019816 1165504 1529724 1748256 2039632 2331008 3059448 3496512 4079264 4662016 6118896 6993024 8158528 9324032 12237792 13986048 16317056 24475584 27972096 32634112 48951168 65268224 97902336 195804672