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67714540 = 22531149733
BaseRepresentation
bin1000000100100…
…11110111101100
311201102020212221
410002103313230
5114313331130
610415205124
71451364325
oct402236754
9151366787
1067714540
113524aa33
121a8167a4
131104b49a
148dc944c
155e2887a
hex4093dec

67714540 has 48 divisors (see below), whose sum is σ = 147974400. Its totient is φ = 26000640.

The previous prime is 67714531. The next prime is 67714561. The reversal of 67714540 is 4541776.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 67714496 and 67714505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92014 + ... + 92746.

It is an arithmetic number, because the mean of its divisors is an integer number (3082800).

Almost surely, 267714540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67714540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73987200).

67714540 is an abundant number, since it is smaller than the sum of its proper divisors (80259860).

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

67714540 is a wasteful number, since it uses less digits than its factorization.

67714540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 67714540 is about 8228.8844930525. The cubic root of 67714540 is about 407.5935575016.

It can be divided in two parts, 6771 and 4540, that added together give a palindrome (11311).

The spelling of 67714540 in words is "sixty-seven million, seven hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 149 155 298 310 596 620 733 745 1466 1490 2932 2980 3665 4619 7330 9238 14660 18476 22723 23095 45446 46190 90892 92380 109217 113615 218434 227230 436868 454460 546085 1092170 2184340 3385727 6771454 13542908 16928635 33857270 67714540