Search a number
-
+
40578960 = 2435169079
BaseRepresentation
bin1001101011001…
…0111110010000
32211100121212110
42122302332100
540342011320
64005425320
71001626002
oct232627620
984317773
1040578960
11209a6634
121170b240
13853a226
145564372
1538685e0
hex26b2f90

40578960 has 40 divisors (see below), whose sum is σ = 125795520. Its totient is φ = 10820992.

The previous prime is 40578947. The next prime is 40578977. The reversal of 40578960 is 6987504.

40578960 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 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, 84300 + ... + 84779.

It is an arithmetic number, because the mean of its divisors is an integer number (3144888).

Almost surely, 240578960 is an apocalyptic number.

40578960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40578960 is an abundant number, since it is smaller than the sum of its proper divisors (85216560).

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

40578960 is a wasteful number, since it uses less digits than its factorization.

40578960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169095 (or 169089 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 40578960 is about 6370.1616933952. The cubic root of 40578960 is about 343.6373047659.

The spelling of 40578960 in words is "forty million, five hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 169079 338158 507237 676316 845395 1014474 1352632 1690790 2028948 2536185 2705264 3381580 4057896 5072370 6763160 8115792 10144740 13526320 20289480 40578960