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66834960 = 2435278479
BaseRepresentation
bin1111111011110…
…1001000010000
311122202120022220
43332331020100
5114102204320
610344301040
71441042053
oct376751020
9148676286
1066834960
11347aa105
121a471780
1310b0101a
148c3aa9a
155d02e40
hex3fbd210

66834960 has 40 divisors (see below), whose sum is σ = 207189120. Its totient is φ = 17822592.

The previous prime is 66834959. The next prime is 66834983. The reversal of 66834960 is 6943866.

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

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, 139000 + ... + 139479.

It is an arithmetic number, because the mean of its divisors is an integer number (5179728).

Almost surely, 266834960 is an apocalyptic number.

66834960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66834960 is an abundant number, since it is smaller than the sum of its proper divisors (140354160).

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

66834960 is a wasteful number, since it uses less digits than its factorization.

66834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278495 (or 278489 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 66834960 is about 8175.2651333152. The cubic root of 66834960 is about 405.8210443494.

The spelling of 66834960 in words is "sixty-six million, eight hundred thirty-four 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 278479 556958 835437 1113916 1392395 1670874 2227832 2784790 3341748 4177185 4455664 5569580 6683496 8354370 11139160 13366992 16708740 22278320 33417480 66834960