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10716288 = 273114359
BaseRepresentation
bin101000111000…
…010010000000
3202011102222120
4220320102000
510220410123
61021404240
7160041552
oct50702200
922142876
1010716288
11605a340
123709680
1322b28cb
1415cd4d2
15e1a2e3
hexa38480

10716288 has 128 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3118080.

The previous prime is 10716287. The next prime is 10716301. The reversal of 10716288 is 88261701.

It is a happy number.

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

It is a super-2 number, since 2×107162882 = 229677656997888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10716281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181603 + ... + 181661.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 210716288 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 10716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

10716288 is an abundant number, since it is smaller than the sum of its proper divisors (21597312).

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

10716288 is a wasteful number, since it uses less digits than its factorization.

10716288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10716288 is about 3273.5741934467. The cubic root of 10716288 is about 220.4693012111.

Adding to 10716288 its reverse (88261701), we get a palindrome (98977989).

The spelling of 10716288 in words is "ten million, seven hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 59 64 66 86 88 96 118 128 129 132 172 176 177 192 236 258 264 344 352 354 384 472 473 516 528 649 688 704 708 944 946 1032 1056 1298 1376 1408 1416 1419 1888 1892 1947 2064 2112 2537 2596 2752 2832 2838 3776 3784 3894 4128 4224 5074 5192 5504 5664 5676 7552 7568 7611 7788 8256 10148 10384 11328 11352 15136 15222 15576 16512 20296 20768 22656 22704 27907 30272 30444 31152 40592 41536 45408 55814 60544 60888 62304 81184 83072 83721 90816 111628 121776 124608 162368 167442 181632 223256 243552 249216 324736 334884 446512 487104 669768 893024 974208 1339536 1786048 2679072 3572096 5358144 10716288