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19427328 = 212321731
BaseRepresentation
bin100101000011…
…1000000000000
31100120000021200
41022013000000
514433133303
61532221200
7324062304
oct112070000
940500250
1019427328
11aa6a048
12660a800
13404287b
142819d04
151a8b3a3
hex1287000

19427328 has 156 divisors (see below), whose sum is σ = 61334208. Its totient is φ = 5898240.

The previous prime is 19427327. The next prime is 19427339. The reversal of 19427328 is 82372491.

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

It is a junction number, because it is equal to n+sod(n) for n = 19427292 and 19427301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19427321) 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, 626673 + ... + 626703.

It is an arithmetic number, because the mean of its divisors is an integer number (393168).

Almost surely, 219427328 is an apocalyptic number.

19427328 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 19427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30667104).

19427328 is an abundant number, since it is smaller than the sum of its proper divisors (41906880).

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

19427328 is a wasteful number, since it uses less digits than its factorization.

19427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 19427328 is about 4407.6442687676. The cubic root of 19427328 is about 268.8258478545.

The spelling of 19427328 in words is "nineteen million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 64 68 72 93 96 102 124 128 136 144 153 186 192 204 248 256 272 279 288 306 372 384 408 496 512 527 544 558 576 612 744 768 816 992 1024 1054 1088 1116 1152 1224 1488 1536 1581 1632 1984 2048 2108 2176 2232 2304 2448 2976 3072 3162 3264 3968 4096 4216 4352 4464 4608 4743 4896 5952 6144 6324 6528 7936 8432 8704 8928 9216 9486 9792 11904 12288 12648 13056 15872 16864 17408 17856 18432 18972 19584 23808 25296 26112 31744 33728 34816 35712 36864 37944 39168 47616 50592 52224 63488 67456 69632 71424 75888 78336 95232 101184 104448 126976 134912 142848 151776 156672 190464 202368 208896 269824 285696 303552 313344 380928 404736 539648 571392 607104 626688 809472 1079296 1142784 1214208 1618944 2158592 2428416 3237888 4856832 6475776 9713664 19427328