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68640128 = 275961149
BaseRepresentation
bin1000001011101…
…01110110000000
311210011021112222
410011311312000
5120032441003
610451110212
71462300664
oct405656600
9153137488
1068640128
1135822387
121aba2368
13112b387b
14918a8a4
15605cc38
hex4175d80

68640128 has 64 divisors (see below), whose sum is σ = 142290000. Its totient is φ = 32962560.

The previous prime is 68640059. The next prime is 68640133. The reversal of 68640128 is 82104686.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×686401282 = 9422934343712768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460598 + ... + 460746.

Almost surely, 268640128 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 68640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71145000).

68640128 is an abundant number, since it is smaller than the sum of its proper divisors (73649872).

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

68640128 is a wasteful number, since it uses less digits than its factorization.

68640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 68640128 is about 8284.9337957524. The cubic root of 68640128 is about 409.4422875080.

The spelling of 68640128 in words is "sixty-eight million, six hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 59 61 64 118 122 128 149 236 244 298 472 488 596 944 976 1192 1888 1952 2384 3599 3776 3904 4768 7198 7552 7808 8791 9089 9536 14396 17582 18178 19072 28792 35164 36356 57584 70328 72712 115168 140656 145424 230336 281312 290848 460672 536251 562624 581696 1072502 1125248 1163392 2145004 4290008 8580016 17160032 34320064 68640128