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19428024 = 23371110513
BaseRepresentation
bin100101000011…
…1001010111000
31100120001020110
41022013022320
514433144044
61532224320
7324064320
oct112071270
940501213
1019428024
11aa6a620
12660b0a0
134042c95
14281a280
151a8b6b9
hex12872b8

19428024 has 64 divisors (see below), whose sum is σ = 60560640. Its totient is φ = 5045760.

The previous prime is 19428023. The next prime is 19428029. The reversal of 19428024 is 42082491.

It is a junction number, because it is equal to n+sod(n) for n = 19427982 and 19428000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19428023) 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 15 ways as a sum of consecutive naturals, for example, 3409 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (946260).

Almost surely, 219428024 is an apocalyptic number.

19428024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19428024 is an abundant number, since it is smaller than the sum of its proper divisors (41132616).

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

19428024 is a wasteful number, since it uses less digits than its factorization.

19428024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 19428024 is about 4407.7232218006. The cubic root of 19428024 is about 268.8290581185.

The spelling of 19428024 in words is "nineteen million, four hundred twenty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 10513 21026 31539 42052 63078 73591 84104 115643 126156 147182 220773 231286 252312 294364 346929 441546 462572 588728 693858 809501 883092 925144 1387716 1619002 1766184 2428503 2775432 3238004 4857006 6476008 9714012 19428024