Search a number
-
+
64140672 = 273167033
BaseRepresentation
bin1111010010101…
…1010110000000
311110200200110110
43310223112000
5112410000142
610210431320
71406121021
oct364532600
9143620413
1064140672
1133229922
1219592540
131039987b
148738c48
15596e99c
hex3d2b580

64140672 has 32 divisors (see below), whose sum is σ = 170374680. Its totient is φ = 21380096.

The previous prime is 64140667. The next prime is 64140679. The reversal of 64140672 is 27604146.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×641406723 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64140679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83133 + ... + 83900.

Almost surely, 264140672 is an apocalyptic number.

It is an amenable number.

64140672 is an abundant number, since it is smaller than the sum of its proper divisors (106234008).

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

64140672 is a wasteful number, since it uses less digits than its factorization.

64140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167050 (or 167038 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 64140672 is about 8008.7871740982. The cubic root of 64140672 is about 400.2928522083.

The spelling of 64140672 in words is "sixty-four million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 167033 334066 501099 668132 1002198 1336264 2004396 2672528 4008792 5345056 8017584 10690112 16035168 21380224 32070336 64140672