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65378640 = 2435272411
BaseRepresentation
bin1111100101100…
…1100101010000
311120000120122010
43321121211100
5113214104030
610253142520
71422465165
oct371314520
9146016563
1065378640
11339a4a38
1219a8aa40
13107111b2
14897c06c
155b166b0
hex3e59950

65378640 has 40 divisors (see below), whose sum is σ = 202674528. Its totient is φ = 17434240.

The previous prime is 65378633. The next prime is 65378657. The reversal of 65378640 is 4687356.

65378640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135966 + ... + 136445.

Almost surely, 265378640 is an apocalyptic number.

65378640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65378640 is an abundant number, since it is smaller than the sum of its proper divisors (137295888).

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

65378640 is a wasteful number, since it uses less digits than its factorization.

65378640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272427 (or 272421 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 65378640 is about 8085.7059061037. The cubic root of 65378640 is about 402.8517866311.

The spelling of 65378640 in words is "sixty-five million, three hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 272411 544822 817233 1089644 1362055 1634466 2179288 2724110 3268932 4086165 4358576 5448220 6537864 8172330 10896440 13075728 16344660 21792880 32689320 65378640