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66688600 = 23521130313
BaseRepresentation
bin1111111001100…
…1011001011000
311122111010120011
43332121121120
5114033013400
610341211304
71436562256
oct376313130
9148433504
1066688600
113470a150
121a400b34
1310a7c514
148bdd5d6
155cc48ba
hex3f99658

66688600 has 48 divisors (see below), whose sum is σ = 169152120. Its totient is φ = 24249600.

The previous prime is 66688579. The next prime is 66688619. The reversal of 66688600 is 688666.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12957 + ... + 17356.

Almost surely, 266688600 is an apocalyptic number.

It is an amenable number.

66688600 is an abundant number, since it is smaller than the sum of its proper divisors (102463520).

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

66688600 is a wasteful number, since it uses less digits than its factorization.

66688600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30340 (or 30331 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 66688600 is about 8166.3088356980. The cubic root of 66688600 is about 405.5245958171.

The spelling of 66688600 in words is "sixty-six million, six hundred eighty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 30313 60626 121252 151565 242504 303130 333443 606260 666886 757825 1212520 1333772 1515650 1667215 2667544 3031300 3334430 6062600 6668860 8336075 13337720 16672150 33344300 66688600