Search a number
-
+
19130496 = 273711647
BaseRepresentation
bin100100011111…
…0100010000000
31022222221002220
41020332202000
514344133441
61522011040
7321415020
oct110764200
938887086
1019130496
11a887030
1264a6a80
133c6a728
14277da80
151a2d466
hex123e880

19130496 has 128 divisors (see below), whose sum is σ = 63452160. Its totient is φ = 4961280.

The previous prime is 19130483. The next prime is 19130497. The reversal of 19130496 is 69403191.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (19130497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29245 + ... + 29891.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 219130496 is an apocalyptic number.

19130496 is a gapful number since it is divisible by the number (16) 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 19130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726080).

19130496 is an abundant number, since it is smaller than the sum of its proper divisors (44321664).

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

19130496 is a wasteful number, since it uses less digits than its factorization.

19130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 19130496 is about 4373.8422468123. The cubic root of 19130496 is about 267.4496763866.

The spelling of 19130496 in words is "nineteen million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 647 672 704 896 924 1056 1232 1294 1344 1408 1848 1941 2112 2464 2588 2688 3696 3882 4224 4529 4928 5176 7117 7392 7764 9058 9856 10352 13587 14234 14784 15528 18116 20704 21351 27174 28468 29568 31056 36232 41408 42702 49819 54348 56936 62112 72464 82816 85404 99638 108696 113872 124224 144928 149457 170808 199276 217392 227744 248448 289856 298914 341616 398552 434784 455488 579712 597828 683232 797104 869568 910976 1195656 1366464 1594208 1739136 2391312 2732928 3188416 4782624 6376832 9565248 19130496