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19130904 = 233513757
BaseRepresentation
bin100100011111…
…0101000011000
31022222221200000
41020332220120
514344142104
61522013000
7321416142
oct110765030
938887600
1019130904
11a887371
1264a7160
133c6a980
14277dc92
151a2d639
hex123ea18

19130904 has 96 divisors (see below), whose sum is σ = 57941520. Its totient is φ = 5878656.

The previous prime is 19130869. The next prime is 19130939. The reversal of 19130904 is 40903191.

It is an interprime number because it is at equal distance from previous prime (19130869) and next prime (19130939).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24894 + ... + 25650.

Almost surely, 219130904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19130904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28970760).

19130904 is an abundant number, since it is smaller than the sum of its proper divisors (38810616).

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

19130904 is a wasteful number, since it uses less digits than its factorization.

19130904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19130904 is about 4373.8888874776. Note that the first 5 decimals coincide. The cubic root of 19130904 is about 267.4515776911.

Adding to 19130904 its product of nonzero digits (972), we get a square (19131876 = 43742).

The spelling of 19130904 in words is "nineteen million, one hundred thirty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 757 936 972 1053 1404 1514 1944 2106 2271 2808 3028 3159 4212 4542 6056 6318 6813 8424 9084 9841 12636 13626 18168 19682 20439 25272 27252 29523 39364 40878 54504 59046 61317 78728 81756 88569 118092 122634 163512 177138 183951 236184 245268 265707 354276 367902 490536 531414 708552 735804 797121 1062828 1471608 1594242 2125656 2391363 3188484 4782726 6376968 9565452 19130904