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81230976 = 2732107659
BaseRepresentation
bin1001101011101…
…11110010000000
312122211221221200
410311313302000
5131243342401
612021021200
72004311001
oct465676200
9178757850
1081230976
1141942042
1223254800
1313aa1788
14ab071a8
1571e8686
hex4d77c80

81230976 has 96 divisors (see below), whose sum is σ = 236293200. Its totient is φ = 26783232.

The previous prime is 81230959. The next prime is 81230983. The reversal of 81230976 is 67903218.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81230976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122935 + ... + 123593.

Almost surely, 281230976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118146600).

81230976 is an abundant number, since it is smaller than the sum of its proper divisors (155062224).

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

81230976 is a wasteful number, since it uses less digits than its factorization.

81230976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 81230976 is about 9012.8228652293. The cubic root of 81230976 is about 433.0857462724.

The spelling of 81230976 in words is "eighty-one million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 576 642 659 856 963 1152 1284 1318 1712 1926 1977 2568 2636 3424 3852 3954 5136 5272 5931 6848 7704 7908 10272 10544 11862 13696 15408 15816 20544 21088 23724 30816 31632 41088 42176 47448 61632 63264 70513 84352 94896 123264 126528 141026 189792 211539 253056 282052 379584 423078 564104 634617 759168 846156 1128208 1269234 1692312 2256416 2538468 3384624 4512832 5076936 6769248 9025664 10153872 13538496 20307744 27076992 40615488 81230976