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19090080 = 25355491
BaseRepresentation
bin100100011010…
…0101010100000
31022220212200000
41020310222200
514341340310
61521100000
7321156132
oct110645240
938825600
1019090080
11a859729
126487600
133c55209
14276d052
151a214c0
hex1234aa0

19090080 has 144 divisors (see below), whose sum is σ = 67695264. Its totient is φ = 5080320.

The previous prime is 19090073. The next prime is 19090081. The reversal of 19090080 is 8009091.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (19090081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38635 + ... + 39125.

It is an arithmetic number, because the mean of its divisors is an integer number (470106).

Almost surely, 219090080 is an apocalyptic number.

19090080 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 19090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33847632).

19090080 is an abundant number, since it is smaller than the sum of its proper divisors (48605184).

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

19090080 is an equidigital number, since it uses as much as digits as its factorization.

19090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 19090080 is about 4369.2196099532. The cubic root of 19090080 is about 267.2612012749.

The spelling of 19090080 in words is "nineteen million, ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 491 540 648 720 810 864 972 982 1080 1215 1296 1440 1473 1620 1944 1964 2160 2430 2455 2592 2946 3240 3888 3928 4320 4419 4860 4910 5892 6480 7365 7776 7856 8838 9720 9820 11784 12960 13257 14730 15712 17676 19440 19640 22095 23568 26514 29460 35352 38880 39280 39771 44190 47136 53028 58920 66285 70704 78560 79542 88380 106056 117840 119313 132570 141408 159084 176760 198855 212112 235680 238626 265140 318168 353520 397710 424224 477252 530280 596565 636336 707040 795420 954504 1060560 1193130 1272672 1590840 1909008 2121120 2386260 3181680 3818016 4772520 6363360 9545040 19090080