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19420401 = 37111329223
BaseRepresentation
bin100101000010…
…1010011110001
31100112122210010
41022011103301
514432423101
61532125133
7324033150
oct112052361
940478703
1019420401
11aa64920
1266067a9
13403c680
142817597
151a892d6
hex12854f1

19420401 has 64 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 8951040.

The previous prime is 19420399. The next prime is 19420411. The reversal of 19420401 is 10402491.

It is not a de Polignac number, because 19420401 - 21 = 19420399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19420411) 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 63 ways as a sum of consecutive naturals, for example, 86976 + ... + 87198.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 219420401 is an apocalyptic number.

19420401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19420401 is a deficient number, since it is larger than the sum of its proper divisors (16706319).

19420401 is a wasteful number, since it uses less digits than its factorization.

19420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 19420401 is about 4406.8584048049. The cubic root of 19420401 is about 268.7938932454.

Adding to 19420401 its reverse (10402491), we get a palindrome (29822892).

The spelling of 19420401 in words is "nineteen million, four hundred twenty thousand, four hundred one".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 143 203 223 231 273 319 377 429 609 669 957 1001 1131 1561 2233 2453 2639 2899 3003 4147 4683 6467 6699 7359 7917 8697 12441 17171 19401 20293 29029 31889 45269 51513 60879 71137 84071 87087 95667 135807 213411 223223 252213 497959 588497 669669 924781 1493877 1765491 2774343 6473467 19420401