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11438064 = 2433112983
BaseRepresentation
bin101011101000…
…011111110000
3210112010002000
4223220133300
510412004224
61045054000
7166136061
oct53503760
923463060
1011438064
116502650
1239b7300
1324a62b1
14173a568
15100e0c9
hexae87f0

11438064 has 160 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3306240.

The previous prime is 11438051. The next prime is 11438071. The reversal of 11438064 is 46083411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 137767 + ... + 137849.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 211438064 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 11438064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

11438064 is an abundant number, since it is smaller than the sum of its proper divisors (26059536).

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

11438064 is a wasteful number, since it uses less digits than its factorization.

11438064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11438064 is about 3382.0206977486. The cubic root of 11438064 is about 225.3119229294.

The spelling of 11438064 in words is "eleven million, four hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 83 87 88 99 108 116 132 144 166 174 176 198 216 232 249 261 264 297 319 332 348 396 432 464 498 522 528 594 638 664 696 747 783 792 913 957 996 1044 1188 1276 1328 1392 1494 1566 1584 1826 1914 1992 2088 2241 2376 2407 2552 2739 2871 2988 3132 3652 3828 3984 4176 4482 4752 4814 5104 5478 5742 5976 6264 7221 7304 7656 8217 8613 8964 9628 10956 11484 11952 12528 14442 14608 15312 16434 17226 17928 19256 21663 21912 22968 24651 26477 28884 32868 34452 35856 38512 43326 43824 45936 49302 52954 57768 64989 65736 68904 79431 86652 98604 105908 115536 129978 131472 137808 158862 173304 197208 211816 238293 259956 317724 346608 394416 423632 476586 519912 635448 714879 953172 1039824 1270896 1429758 1906344 2859516 3812688 5719032 11438064