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68264064 = 2732115387
BaseRepresentation
bin1000001000110…
…10000010000000
311202110011200200
410010122002000
5114433422224
610435045200
71456143411
oct404320200
9152404620
1068264064
1135595890
121aa40800
13111b164b
1490cd808
155ed65c9
hex411a080

68264064 has 96 divisors (see below), whose sum is σ = 214334640. Its totient is φ = 20682240.

The previous prime is 68264047. The next prime is 68264099. The reversal of 68264064 is 46046286.

It is a happy number.

68264064 is a `hidden beast` number, since 6 + 8 + 2 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9979 + ... + 15365.

Almost surely, 268264064 is an apocalyptic number.

68264064 is a gapful number since it is divisible by the number (64) 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 68264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107167320).

68264064 is an abundant number, since it is smaller than the sum of its proper divisors (146070576).

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

68264064 is a wasteful number, since it uses less digits than its factorization.

68264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 68264064 is about 8262.2069690852. The cubic root of 68264064 is about 408.6931700022.

It can be divided in two parts, 682 and 64064, that added together give a palindrome (64746).

The spelling of 68264064 in words is "sixty-eight million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 5387 6336 10774 12672 16161 21548 32322 43096 48483 59257 64644 86192 96966 118514 129288 172384 177771 193932 237028 258576 344768 355542 387864 474056 517152 533313 689536 711084 775728 948112 1034304 1066626 1422168 1551456 1896224 2068608 2133252 2844336 3102912 3792448 4266504 5688672 6205824 7584896 8533008 11377344 17066016 22754688 34132032 68264064