Search a number
-
+
66158940 = 22354325643
BaseRepresentation
bin1111110001100…
…0000101011100
311121111020000010
43330120011130
5113414041230
610322003220
71432225131
oct374300534
9147436003
1066158940
1134388211
121a1a6510
1310925403
148b02588
155c1c9b0
hex3f1815c

66158940 has 48 divisors (see below), whose sum is σ = 189560448. Its totient is φ = 17231424.

The previous prime is 66158927. The next prime is 66158941. The reversal of 66158940 is 4985166.

66158940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66158941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10242 + ... + 15401.

It is an arithmetic number, because the mean of its divisors is an integer number (3949176).

Almost surely, 266158940 is an apocalyptic number.

66158940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66158940 is an abundant number, since it is smaller than the sum of its proper divisors (123401508).

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

66158940 is a wasteful number, since it uses less digits than its factorization.

66158940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25698 (or 25696 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 66158940 is about 8133.8146032474. The cubic root of 66158940 is about 404.4481433623.

The spelling of 66158940 in words is "sixty-six million, one hundred fifty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 25643 51286 76929 102572 128215 153858 256430 307716 384645 512860 769290 1102649 1538580 2205298 3307947 4410596 5513245 6615894 11026490 13231788 16539735 22052980 33079470 66158940