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81400704 = 2737112753
BaseRepresentation
bin1001101101000…
…01001110000000
312200011120202220
410312201032000
5131314310304
612024411040
72005615560
oct466411600
9180146686
1081400704
1141a48610
1223316a80
1313b30ac8
14ab4cda0
15722dad9
hex4da1380

81400704 has 128 divisors (see below), whose sum is σ = 269671680. Its totient is φ = 21135360.

The previous prime is 81400681. The next prime is 81400717. The reversal of 81400704 is 40700418.

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

It is a super-2 number, since 2×814007042 = 13252149223391232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 28192 + ... + 30944.

It is an arithmetic number, because the mean of its divisors is an integer number (2106810).

Almost surely, 281400704 is an apocalyptic number.

81400704 is a gapful number since it is divisible by the number (84) 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 81400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134835840).

81400704 is an abundant number, since it is smaller than the sum of its proper divisors (188270976).

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

81400704 is a wasteful number, since it uses less digits than its factorization.

81400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 81400704 is about 9022.2338697243. The cubic root of 81400704 is about 433.3871733235.

The spelling of 81400704 in words is "eighty-one million, four hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 2753 3696 4224 4928 5506 7392 8259 9856 11012 14784 16518 19271 22024 29568 30283 33036 38542 44048 57813 60566 66072 77084 88096 90849 115626 121132 132144 154168 176192 181698 211981 231252 242264 264288 308336 352384 363396 423962 462504 484528 528576 616672 635943 726792 847924 925008 969056 1057152 1233344 1271886 1453584 1695848 1850016 1938112 2466688 2543772 2907168 3391696 3700032 3876224 5087544 5814336 6783392 7400064 10175088 11628672 13566784 20350176 27133568 40700352 81400704