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67580064 = 2532234653
BaseRepresentation
bin1000000011100…
…11000010100000
311201011102102100
410001303002200
5114300030224
610412250400
71450264266
oct401630240
9151142370
1067580064
11351689a2
121a770a00
1311002206
148d92436
155dedac9
hex40730a0

67580064 has 36 divisors (see below), whose sum is σ = 192181626. Its totient is φ = 22526592.

The previous prime is 67580053. The next prime is 67580077. The reversal of 67580064 is 46008576.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67568400 + 11664 = 8220^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117039 + ... + 117614.

Almost surely, 267580064 is an apocalyptic number.

It is an amenable number.

67580064 is an abundant number, since it is smaller than the sum of its proper divisors (124601562).

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

67580064 is a wasteful number, since it uses less digits than its factorization.

67580064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234669 (or 234658 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67580064 is about 8220.7094584348. The cubic root of 67580064 is about 407.3235619428.

The spelling of 67580064 in words is "sixty-seven million, five hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 234653 469306 703959 938612 1407918 1877224 2111877 2815836 3754448 4223754 5631672 7508896 8447508 11263344 16895016 22526688 33790032 67580064