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9640064 = 27722953
BaseRepresentation
bin100100110001…
…100010000000
3200010202200102
4210301202000
54431440224
6542341532
7144640100
oct44614200
920122612
109640064
1154947a5
12328a8a8
131cc6aa5
1413cd200
15ca64ae
hex931880

9640064 has 96 divisors (see below), whose sum is σ = 23546700. Its totient is φ = 3913728.

The previous prime is 9640061. The next prime is 9640109. The reversal of 9640064 is 4600469.

It can be written as a sum of positive squares in 2 ways, for example, as 9486400 + 153664 = 3080^2 + 392^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (9640061) 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 11 ways as a sum of consecutive naturals, for example, 181862 + ... + 181914.

Almost surely, 29640064 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 9640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773350).

9640064 is an abundant number, since it is smaller than the sum of its proper divisors (13906636).

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

9640064 is a wasteful number, since it uses less digits than its factorization.

9640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 9640064 is about 3104.8452457409. The cubic root of 9640064 is about 212.8269587268.

The spelling of 9640064 in words is "nine million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 53 56 58 64 98 106 112 116 128 196 203 212 224 232 371 392 406 424 448 464 742 784 812 848 896 928 1421 1484 1537 1568 1624 1696 1856 2597 2842 2968 3074 3136 3248 3392 3712 5194 5684 5936 6148 6272 6496 6784 10388 10759 11368 11872 12296 12992 20776 21518 22736 23744 24592 25984 41552 43036 45472 47488 49184 75313 83104 86072 90944 98368 150626 166208 172144 181888 196736 301252 332416 344288 602504 688576 1205008 1377152 2410016 4820032 9640064