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192191940 = 22345314389
BaseRepresentation
bin10110111010010…
…01110111000100
3111101122100210000
423131021313010
5343200120230
631023201300
74522414233
oct1335116704
9441570700
10192191940
119953a716
1254446230
1330a82355
141b74cb1a
1511d15b60
hexb749dc4

192191940 has 240 divisors, whose sum is σ = 643991040. Its totient is φ = 47900160.

The previous prime is 192191929. The next prime is 192191981. The reversal of 192191940 is 49191291.

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 = 192191895 and 192191904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2159416 + ... + 2159504.

It is an arithmetic number, because the mean of its divisors is an integer number (2683296).

Almost surely, 2192191940 is an apocalyptic number.

192191940 is a gapful number since it is divisible by the number (10) 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 192191940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321995520).

192191940 is an abundant number, since it is smaller than the sum of its proper divisors (451799100).

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

192191940 is a wasteful number, since it uses less digits than its factorization.

192191940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 192191940 is about 13863.3307686140. The cubic root of 192191940 is about 577.0920039476.

It can be divided in two parts, 192191 and 940, that added together give a triangular number (193131 = T621).

The spelling of 192191940 in words is "one hundred ninety-two million, one hundred ninety-one thousand, nine hundred forty".