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19901442 = 23113171137
BaseRepresentation
bin100101111101…
…0110000000010
31101110002122110
41023322300002
520043321232
61550320150
7331105461
oct113726002
941402573
1019901442
1110263280
1267b9056
13417a602
1429009d8
151b31acc
hex12fac02

19901442 has 64 divisors (see below), whose sum is σ = 45785088. Its totient is φ = 5712000.

The previous prime is 19901423. The next prime is 19901459. The reversal of 19901442 is 24410991.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 145198 + ... + 145334.

It is an arithmetic number, because the mean of its divisors is an integer number (715392).

Almost surely, 219901442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19901442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892544).

19901442 is an abundant number, since it is smaller than the sum of its proper divisors (25883646).

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

19901442 is a wasteful number, since it uses less digits than its factorization.

19901442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 19901442 is about 4461.1032267815. The cubic root of 19901442 is about 270.9951479458.

The spelling of 19901442 in words is "nineteen million, nine hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 71 93 137 142 186 213 274 341 411 426 682 781 822 1023 1507 1562 2046 2201 2343 3014 4247 4402 4521 4686 6603 8494 9042 9727 12741 13206 19454 24211 25482 29181 46717 48422 58362 72633 93434 106997 140151 145266 213994 280302 301537 320991 603074 641982 904611 1809222 3316907 6633814 9950721 19901442