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64380240 = 2432589417
BaseRepresentation
bin1111010110010…
…1110101010000
311111010212002100
43311211311100
5112440131430
610215520400
71411136331
oct365456520
9144125070
1064380240
1133382911
1219689100
1310451922
14879c288
1559ba960
hex3d65d50

64380240 has 60 divisors (see below), whose sum is σ = 216212724. Its totient is φ = 17167872.

The previous prime is 64380229. The next prime is 64380247. The reversal of 64380240 is 4208346.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 13571856 = 7128^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64380247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43989 + ... + 45428.

Almost surely, 264380240 is an apocalyptic number.

64380240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64380240 is an abundant number, since it is smaller than the sum of its proper divisors (151832484).

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

64380240 is a wasteful number, since it uses less digits than its factorization.

64380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89436 (or 89427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64380240 is about 8023.7298060191. The cubic root of 64380240 is about 400.7906030044.

Adding to 64380240 its reverse (4208346), we get a palindrome (68588586).

It can be divided in two parts, 64380 and 240, that added together give a triangular number (64620 = T359).

The spelling of 64380240 in words is "sixty-four million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 89417 178834 268251 357668 447085 536502 715336 804753 894170 1073004 1341255 1430672 1609506 1788340 2146008 2682510 3219012 3576680 4023765 4292016 5365020 6438024 7153360 8047530 10730040 12876048 16095060 21460080 32190120 64380240