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19860192 = 2532116269
BaseRepresentation
bin100101111000…
…0101011100000
31101101000001200
41023300223200
520041011232
61545401200
7330544302
oct113605340
941330050
1019860192
1110235290
126799200
1341648c1
1428cd972
151b2477c
hex12f0ae0

19860192 has 72 divisors (see below), whose sum is σ = 61621560. Its totient is φ = 6017280.

The previous prime is 19860173. The next prime is 19860193. The reversal of 19860192 is 29106891.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19860193) 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 11 ways as a sum of consecutive naturals, for example, 34 + ... + 6302.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 219860192 is an apocalyptic number.

19860192 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 19860192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30810780).

19860192 is an abundant number, since it is smaller than the sum of its proper divisors (41761368).

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

19860192 is a wasteful number, since it uses less digits than its factorization.

19860192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19860192 is about 4456.4775327606. The cubic root of 19860192 is about 270.8077866134.

The spelling of 19860192 in words is "nineteen million, eight hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6269 12538 18807 25076 37614 50152 56421 68959 75228 100304 112842 137918 150456 200608 206877 225684 275836 300912 413754 451368 551672 601824 620631 827508 902736 1103344 1241262 1655016 1805472 2206688 2482524 3310032 4965048 6620064 9930096 19860192