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67131690 = 23537197307
BaseRepresentation
bin1000000000001…
…01100100101010
311200022122100220
410000011210222
5114141203230
610354510510
71443416133
oct400054452
9150278326
1067131690
113499203a
121a595436
1310ba60c2
148cb6c8a
155d60d10
hex400592a

67131690 has 64 divisors (see below), whose sum is σ = 166852224. Its totient is φ = 17273088.

The previous prime is 67131689. The next prime is 67131737. The reversal of 67131690 is 9613176.

It is a super-2 number, since 2×671316902 = 9013327604512200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218517 + ... + 218823.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 267131690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67131690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83426112).

67131690 is an abundant number, since it is smaller than the sum of its proper divisors (99720534).

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

67131690 is a wasteful number, since it uses less digits than its factorization.

67131690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 67131690 is about 8193.3930700290. The cubic root of 67131690 is about 406.4207380155.

The spelling of 67131690 in words is "sixty-seven million, one hundred thirty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 197 222 307 370 394 555 591 614 921 985 1110 1182 1535 1842 1970 2955 3070 4605 5910 7289 9210 11359 14578 21867 22718 34077 36445 43734 56795 60479 68154 72890 109335 113590 120958 170385 181437 218670 302395 340770 362874 604790 907185 1814370 2237723 4475446 6713169 11188615 13426338 22377230 33565845 67131690