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19941408 = 2532174073
BaseRepresentation
bin100110000010…
…0100000100000
31101112010110200
41030010200200
520101111113
61551225200
7331333134
oct114044040
941463420
1019941408
1110290303
126818200
134192866
1429113c4
151b3d873
hex1304820

19941408 has 72 divisors (see below), whose sum is σ = 60058908. Its totient is φ = 6254592.

The previous prime is 19941407. The next prime is 19941419. The reversal of 19941408 is 80414991.

It can be written as a sum of positive squares in 2 ways, for example, as 19820304 + 121104 = 4452^2 + 348^2 .

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 not an unprimeable number, because it can be changed into a prime (19941403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2860 + ... + 6932.

Almost surely, 219941408 is an apocalyptic number.

19941408 is a gapful number since it is divisible by the number (18) 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 19941408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30029454).

19941408 is an abundant number, since it is smaller than the sum of its proper divisors (40117500).

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

19941408 is a wasteful number, since it uses less digits than its factorization.

19941408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 19941408 is about 4465.5803654172. The cubic root of 19941408 is about 271.1764304575.

It can be divided in two parts, 1 and 9941408, that added together give a square (9941409 = 31532).

The spelling of 19941408 in words is "nineteen million, nine hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4073 4896 8146 12219 16292 24438 32584 36657 48876 65168 69241 73314 97752 130336 138482 146628 195504 207723 276964 293256 391008 415446 553928 586512 623169 830892 1107856 1173024 1246338 1661784 2215712 2492676 3323568 4985352 6647136 9970704 19941408