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19230480 = 2433529307
BaseRepresentation
bin100100101011…
…0111100010000
31100012000021000
41021112330100
514410333410
61524102000
7322312353
oct111267420
940160230
1019230480
11a945165
126534900
133ca40a9
1427a829a
151a4cdc0
hex1256f10

19230480 has 160 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 4935168.

The previous prime is 19230479. The next prime is 19230481. The reversal of 19230480 is 8403291.

It is an interprime number because it is at equal distance from previous prime (19230479) and next prime (19230481).

It is a super-2 number, since 2×192304802 = 739622722060800, which contains 22 as substring.

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 (19230481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62487 + ... + 62793.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 219230480 is an apocalyptic number.

19230480 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 19230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

19230480 is an abundant number, since it is smaller than the sum of its proper divisors (49515120).

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

19230480 is a wasteful number, since it uses less digits than its factorization.

19230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 19230480 is about 4385.2571190296. The cubic root of 19230480 is about 267.9148017589.

The spelling of 19230480 in words is "nineteen million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 307 348 360 432 435 464 522 540 580 614 696 720 783 870 921 1044 1080 1160 1228 1305 1392 1535 1566 1740 1842 2088 2160 2320 2456 2610 2763 3070 3132 3480 3684 3915 4176 4605 4912 5220 5526 6140 6264 6960 7368 7830 8289 8903 9210 10440 11052 12280 12528 13815 14736 15660 16578 17806 18420 20880 22104 24560 26709 27630 31320 33156 35612 36840 41445 44208 44515 53418 55260 62640 66312 71224 73680 80127 82890 89030 106836 110520 132624 133545 142448 160254 165780 178060 213672 221040 240381 267090 320508 331560 356120 400635 427344 480762 534180 641016 663120 712240 801270 961524 1068360 1201905 1282032 1602540 1923048 2136720 2403810 3205080 3846096 4807620 6410160 9615240 19230480