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66929320 = 2357322921
BaseRepresentation
bin1111111101010…
…0001010101000
311122221100202201
43333110022220
5114113214240
610350305544
71441614133
oct377241250
9148840681
1066929320
1134863a97
121a4b82b4
1310b34c63
148c6321a
155d20d9a
hex3fd42a8

66929320 has 32 divisors (see below), whose sum is σ = 152660520. Its totient is φ = 26403840.

The previous prime is 66929311. The next prime is 66929327. The reversal of 66929320 is 2392966.

It can be written as a sum of positive squares in 4 ways, for example, as 54552996 + 12376324 = 7386^2 + 3518^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66929320.

It is not an unprimeable number, because it can be changed into a prime (66929327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8541 + ... + 14380.

Almost surely, 266929320 is an apocalyptic number.

It is an amenable number.

66929320 is an abundant number, since it is smaller than the sum of its proper divisors (85731200).

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

66929320 is a wasteful number, since it uses less digits than its factorization.

66929320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23005 (or 23001 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 66929320 is about 8181.0341644562. The cubic root of 66929320 is about 406.0119387884.

The spelling of 66929320 in words is "sixty-six million, nine hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 22921 45842 91684 114605 183368 229210 458420 916840 1673233 3346466 6692932 8366165 13385864 16732330 33464660 66929320