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19994112 = 29324339
BaseRepresentation
bin100110001000…
…1011000000000
31101121210202200
41030101120000
520104302422
61552313200
7331642605
oct114213000
941553680
1019994112
1110316966
126842800
1341b0848
1429266ac
151b4e2ac
hex1311600

19994112 has 60 divisors (see below), whose sum is σ = 57717660. Its totient is φ = 6663168.

The previous prime is 19994089. The next prime is 19994113. The reversal of 19994112 is 21149991.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19994113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2439 + ... + 6777.

It is an arithmetic number, because the mean of its divisors is an integer number (961961).

Almost surely, 219994112 is an apocalyptic number.

19994112 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 19994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858830).

19994112 is an abundant number, since it is smaller than the sum of its proper divisors (37723548).

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

19994112 is an equidigital number, since it uses as much as digits as its factorization.

19994112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4344 counting only the distinct ones).

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

The square root of 19994112 is about 4471.4776081291. The cubic root of 19994112 is about 271.4151215602.

The spelling of 19994112 in words is "nineteen million, nine hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4339 4608 8678 13017 17356 26034 34712 39051 52068 69424 78102 104136 138848 156204 208272 277696 312408 416544 555392 624816 833088 1110784 1249632 1666176 2221568 2499264 3332352 4998528 6664704 9997056 19994112