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19191040 = 285112947
BaseRepresentation
bin100100100110…
…1010100000000
31100010000011021
41021031110000
514403103130
61523155224
7322056361
oct111152400
940100137
1019191040
11a918570
126515b14
133c8c15b
142797b68
151a4137a
hex124d500

19191040 has 144 divisors (see below), whose sum is σ = 52980480. Its totient is φ = 6594560.

The previous prime is 19191037. The next prime is 19191047. The reversal of 19191040 is 4019191.

It is a junction number, because it is equal to n+sod(n) for n = 19190996 and 19191014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19191047) 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, 408297 + ... + 408343.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 219191040 is an apocalyptic number.

19191040 is a gapful number since it is divisible by the number (10) 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 19191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26490240).

19191040 is an abundant number, since it is smaller than the sum of its proper divisors (33789440).

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

19191040 is a wasteful number, since it uses less digits than its factorization.

19191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 19191040 is about 4380.7579252910. The cubic root of 19191040 is about 267.7315199460.

The spelling of 19191040 in words is "nineteen million, one hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 47 55 58 64 80 88 94 110 116 128 145 160 176 188 220 232 235 256 290 319 320 352 376 440 464 470 517 580 638 640 704 752 880 928 940 1034 1160 1276 1280 1363 1408 1504 1595 1760 1856 1880 2068 2320 2552 2585 2726 2816 3008 3190 3520 3712 3760 4136 4640 5104 5170 5452 6016 6380 6815 7040 7424 7520 8272 9280 10208 10340 10904 12032 12760 13630 14080 14993 15040 16544 18560 20416 20680 21808 25520 27260 29986 30080 33088 37120 40832 41360 43616 51040 54520 59972 60160 66176 74965 81664 82720 87232 102080 109040 119944 132352 149930 165440 174464 204160 218080 239888 299860 330880 348928 408320 436160 479776 599720 661760 872320 959552 1199440 1744640 1919104 2398880 3838208 4797760 9595520 19191040