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81304320 = 283531683
BaseRepresentation
bin1001101100010…
…01101100000000
312122222200120010
410312021230000
5131303214240
612022344520
72005034556
oct466115400
9178880503
1081304320
1141992159
122328b140
1313ac8c86
14ab25bd6
157210280
hex4d89b00

81304320 has 144 divisors (see below), whose sum is σ = 268434432. Its totient is φ = 20951040.

The previous prime is 81304303. The next prime is 81304343. The reversal of 81304320 is 2340318.

It is a happy number.

It is a super-2 number, since 2×813043202 = 13220784901324800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118699 + ... + 119381.

It is an arithmetic number, because the mean of its divisors is an integer number (1864128).

Almost surely, 281304320 is an apocalyptic number.

81304320 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 81304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217216).

81304320 is an abundant number, since it is smaller than the sum of its proper divisors (187130112).

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

81304320 is a wasteful number, since it uses less digits than its factorization.

81304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 81304320 is about 9016.8908166840. The cubic root of 81304320 is about 433.2160524161.

Adding to 81304320 its reverse (2340318), we get a palindrome (83644638).

The spelling of 81304320 in words is "eighty-one million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 683 744 768 930 960 992 1240 1280 1366 1488 1860 1920 1984 2049 2480 2732 2976 3415 3720 3840 3968 4098 4960 5464 5952 6830 7440 7936 8196 9920 10245 10928 11904 13660 14880 16392 19840 20490 21173 21856 23808 27320 29760 32784 39680 40980 42346 43712 54640 59520 63519 65568 81960 84692 87424 105865 109280 119040 127038 131136 163920 169384 174848 211730 218560 254076 262272 317595 327840 338768 423460 437120 508152 524544 635190 655680 677536 846920 874240 1016304 1270380 1311360 1355072 1693840 2032608 2540760 2622720 2710144 3387680 4065216 5081520 5420288 6775360 8130432 10163040 13550720 16260864 20326080 27101440 40652160 81304320