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19328868 = 2234132353
BaseRepresentation
bin100100110111…
…0111101100100
31100101000020000
41021232331210
514422010433
61530141300
7323202246
oct111567544
940330200
1019328868
11aa02079
126581830
134009b00
1427d2096
151a6c113
hex126ef64

19328868 has 90 divisors (see below), whose sum is σ = 54870354. Its totient is φ = 5930496.

The previous prime is 19328863. The next prime is 19328879. The reversal of 19328868 is 86882391.

It can be written as a sum of positive squares in 3 ways, for example, as 39204 + 19289664 = 198^2 + 4392^2 .

It is a super-2 number, since 2×193288682 = 747210276322848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19328863) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54580 + ... + 54932.

Almost surely, 219328868 is an apocalyptic number.

19328868 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 19328868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27435177).

19328868 is an abundant number, since it is smaller than the sum of its proper divisors (35541486).

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

19328868 is a wasteful number, since it uses less digits than its factorization.

19328868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 19328868 is about 4396.4608493651. The cubic root of 19328868 is about 268.3709313810.

The spelling of 19328868 in words is "nineteen million, three hundred twenty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 353 468 507 676 702 706 1014 1053 1059 1404 1412 1521 2028 2106 2118 3042 3177 4212 4236 4563 4589 6084 6354 9126 9178 9531 12708 13689 13767 18252 18356 19062 27378 27534 28593 38124 41301 54756 55068 57186 59657 82602 114372 119314 123903 165204 178971 238628 247806 357942 371709 495612 536913 715884 743418 1073826 1486836 1610739 2147652 3221478 4832217 6442956 9664434 19328868