Search a number
-
+
81233280 = 273451567
BaseRepresentation
bin1001101011110…
…00010110000000
312122212002010000
410311320112000
5131243431110
612021040000
72004320502
oct465702600
9178762100
1081233280
1141943847
1223256000
1313aa283b
14ab07d72
1571e91c0
hex4d78580

81233280 has 160 divisors (see below), whose sum is σ = 290283840. Its totient is φ = 21648384.

The previous prime is 81233233. The next prime is 81233281. The reversal of 81233280 is 8233218.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81233281) 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 19 ways as a sum of consecutive naturals, for example, 51057 + ... + 52623.

It is an arithmetic number, because the mean of its divisors is an integer number (1814274).

Almost surely, 281233280 is an apocalyptic number.

81233280 is a gapful number since it is divisible by the number (80) 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 81233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145141920).

81233280 is an abundant number, since it is smaller than the sum of its proper divisors (209050560).

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

81233280 is a wasteful number, since it uses less digits than its factorization.

81233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 81233280 is about 9012.9506822128. The cubic root of 81233280 is about 433.0898408521.

Adding to 81233280 its reverse (8233218), we get a palindrome (89466498).

The spelling of 81233280 in words is "eighty-one million, two hundred thirty-three thousand, two hundred 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 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1567 1620 1728 1920 2160 2592 2880 3134 3240 3456 4320 4701 5184 5760 6268 6480 7835 8640 9402 10368 12536 12960 14103 15670 17280 18804 23505 25072 25920 28206 31340 37608 42309 47010 50144 51840 56412 62680 70515 75216 84618 94020 100288 112824 125360 126927 141030 150432 169236 188040 200576 211545 225648 250720 253854 282060 300864 338472 376080 423090 451296 501440 507708 564120 601728 634635 676944 752160 846180 902592 1002880 1015416 1128240 1269270 1353888 1504320 1692360 1805184 2030832 2256480 2538540 2707776 3008640 3384720 4061664 4512960 5077080 5415552 6769440 8123328 9025920 10154160 13538880 16246656 20308320 27077760 40616640 81233280