Search a number
-
+
66737040 = 2435278071
BaseRepresentation
bin1111111010010…
…1001110010000
311122120121000020
43332211032100
5114041041130
610342223440
71440153426
oct376451620
9148517006
1066737040
1134742587
121a424b80
1310a98596
148c13116
155cd3e10
hex3fa5390

66737040 has 40 divisors (see below), whose sum is σ = 206885568. Its totient is φ = 17796480.

The previous prime is 66737029. The next prime is 66737051. The reversal of 66737040 is 4073766.

It is an interprime number because it is at equal distance from previous prime (66737029) and next prime (66737051).

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

It is a junction number, because it is equal to n+sod(n) for n = 66736992 and 66737010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138796 + ... + 139275.

Almost surely, 266737040 is an apocalyptic number.

66737040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66737040 is an abundant number, since it is smaller than the sum of its proper divisors (140148528).

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

66737040 is a wasteful number, since it uses less digits than its factorization.

66737040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278087 (or 278081 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 66737040 is about 8169.2741415624. The cubic root of 66737040 is about 405.6227578079.

The spelling of 66737040 in words is "sixty-six million, seven hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 278071 556142 834213 1112284 1390355 1668426 2224568 2780710 3336852 4171065 4449136 5561420 6673704 8342130 11122840 13347408 16684260 22245680 33368520 66737040