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10712064 = 210311317
BaseRepresentation
bin101000110111…
…010000000000
3202011020012010
4220313100000
510220241224
61021332520
7160023336
oct50672000
922136163
1010712064
116057150
123707140
1322b09cc
1415cbb56
15e18e29
hexa37400

10712064 has 88 divisors (see below), whose sum is σ = 31245408. Its totient is φ = 3235840.

The previous prime is 10712059. The next prime is 10712071. The reversal of 10712064 is 46021701.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×107120642 = 229496630280192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10712064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33634 + ... + 33950.

Almost surely, 210712064 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 10712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15622704).

10712064 is an abundant number, since it is smaller than the sum of its proper divisors (20533344).

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

10712064 is a wasteful number, since it uses less digits than its factorization.

10712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10712064 is about 3272.9289634821. The cubic root of 10712064 is about 220.4403302119.

Adding to 10712064 its reverse (46021701), we get a palindrome (56733765).

It can be divided in two parts, 1071206 and 4, that multiplied together give a palindrome (4284824).

The spelling of 10712064 in words is "ten million, seven hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 317 352 384 512 528 634 704 768 951 1024 1056 1268 1408 1536 1902 2112 2536 2816 3072 3487 3804 4224 5072 5632 6974 7608 8448 10144 10461 11264 13948 15216 16896 20288 20922 27896 30432 33792 40576 41844 55792 60864 81152 83688 111584 121728 162304 167376 223168 243456 324608 334752 446336 486912 669504 892672 973824 1339008 1785344 2678016 3570688 5356032 10712064