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65709440 = 275831237
BaseRepresentation
bin1111101010101…
…0010110000000
311120122101101222
43322222112000
5113310200230
610304214212
71425343466
oct372522600
9146571358
1065709440
1134100525
121a00a368
13107c8934
148a26836
155b7e6e5
hex3eaa580

65709440 has 64 divisors (see below), whose sum is σ = 159107760. Its totient is φ = 25946112.

The previous prime is 65709433. The next prime is 65709443. The reversal of 65709440 is 4490756.

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

It is a super-2 number, since 2×657094402 = 8635461010227200, 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 65709440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65709443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52502 + ... + 53738.

Almost surely, 265709440 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 65709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79553880).

65709440 is an abundant number, since it is smaller than the sum of its proper divisors (93398320).

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

65709440 is a wasteful number, since it uses less digits than its factorization.

65709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 65709440 is about 8106.1359475400. The cubic root of 65709440 is about 403.5300878858.

The spelling of 65709440 in words is "sixty-five million, seven hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1237 1328 1660 2474 2656 3320 4948 5312 6185 6640 9896 10624 12370 13280 19792 24740 26560 39584 49480 53120 79168 98960 102671 158336 197920 205342 395840 410684 513355 791680 821368 1026710 1642736 2053420 3285472 4106840 6570944 8213680 13141888 16427360 32854720 65709440