Search a number
-
+
1066906064 = 24712237789
BaseRepresentation
bin111111100101111…
…011000111010000
32202100120102222102
4333211323013100
54141111443224
6253511255532
735303360210
oct7745730720
92670512872
101066906064
114a8271354
1225937a5a8
13140064683
14a19a6240
15639ea4ae
hex3f97b1d0

1066906064 has 40 divisors (see below), whose sum is σ = 2364670080. Its totient is φ = 456812928.

The previous prime is 1066905971. The next prime is 1066906079. The reversal of 1066906064 is 4606096601.

It is a super-2 number, since 2×10669060642 = 2276577098799944192, which contains 22 as substring.

It is a congruent number.

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, 133082 + ... + 140870.

It is an arithmetic number, because the mean of its divisors is an integer number (59116752).

Almost surely, 21066906064 is an apocalyptic number.

1066906064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1066906064 is an abundant number, since it is smaller than the sum of its proper divisors (1297764016).

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

1066906064 is a wasteful number, since it uses less digits than its factorization.

1066906064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9027 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 1066906064 is about 32663.5280396959. The cubic root of 1066906064 is about 1021.8223426547.

The spelling of 1066906064 in words is "one billion, sixty-six million, nine hundred six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1223 2446 4892 7789 8561 9784 15578 17122 19568 31156 34244 54523 62312 68488 109046 124624 136976 218092 436184 872368 9525947 19051894 38103788 66681629 76207576 133363258 152415152 266726516 533453032 1066906064