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81054336 = 2731131619
BaseRepresentation
bin1001101010011…
…00101010000000
312122111222122110
410311030222000
5131222214321
612013135320
72002644006
oct465145200
9178458573
1081054336
1141831360
122318a540
1313a3c25c
14aa9ca76
1571b1176
hex4d4ca80

81054336 has 128 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 23731200.

The previous prime is 81054307. The next prime is 81054341. The reversal of 81054336 is 63345018.

It is a tau number, because it is divible by the number of its divisors (128).

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, 130635 + ... + 131253.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 281054336 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 81054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

81054336 is an abundant number, since it is smaller than the sum of its proper divisors (161787264).

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

81054336 is a wasteful number, since it uses less digits than its factorization.

81054336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 81054336 is about 9003.0181605948. The cubic root of 81054336 is about 432.7715977047.

The spelling of 81054336 in words is "eighty-one million, fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 264 341 352 372 384 496 528 619 682 704 744 992 1023 1056 1238 1364 1408 1488 1857 1984 2046 2112 2476 2728 2976 3714 3968 4092 4224 4952 5456 5952 6809 7428 8184 9904 10912 11904 13618 14856 16368 19189 19808 20427 21824 27236 29712 32736 38378 39616 40854 43648 54472 57567 59424 65472 76756 79232 81708 108944 115134 118848 130944 153512 163416 211079 217888 230268 237696 307024 326832 422158 435776 460536 614048 633237 653664 844316 871552 921072 1228096 1266474 1307328 1688632 1842144 2456192 2532948 2614656 3377264 3684288 5065896 6754528 7368576 10131792 13509056 20263584 27018112 40527168 81054336