Search a number
-
+
19394928 = 2432771271
BaseRepresentation
bin100100111111…
…1000101110000
31100111100211200
41021333011300
514431114203
61531411200
7323565660
oct111770560
940440750
1019394928
11aa47773
1265b3b00
134030bb7
14280c1a0
151a819a3
hex127f170

19394928 has 120 divisors (see below), whose sum is σ = 63138816. Its totient is φ = 5443200.

The previous prime is 19394917. The next prime is 19394971. The reversal of 19394928 is 82949391.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71433 + ... + 71703.

Almost surely, 219394928 is an apocalyptic number.

19394928 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 19394928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31569408).

19394928 is an abundant number, since it is smaller than the sum of its proper divisors (43743888).

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

19394928 is a wasteful number, since it uses less digits than its factorization.

19394928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 19394928 is about 4403.9673023309. The cubic root of 19394928 is about 268.6763195889.

The spelling of 19394928 in words is "nineteen million, three hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 271 284 336 426 497 504 542 568 639 813 852 994 1008 1084 1136 1278 1491 1626 1704 1897 1988 2168 2439 2556 2982 3252 3408 3794 3976 4336 4473 4878 5112 5691 5964 6504 7588 7952 8946 9756 10224 11382 11928 13008 15176 17073 17892 19241 19512 22764 23856 30352 34146 35784 38482 39024 45528 57723 68292 71568 76964 91056 115446 134687 136584 153928 173169 230892 269374 273168 307856 346338 404061 461784 538748 692676 808122 923568 1077496 1212183 1385352 1616244 2154992 2424366 2770704 3232488 4848732 6464976 9697464 19394928