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67132540 = 2253738999
BaseRepresentation
bin1000000000001…
…01110001111100
311200022200112101
410000011301330
5114141220130
610354514444
71443421456
oct400056174
9150280471
1067132540
1134992742
121a595a24
1310ba65c7
148cb72d6
155d611ca
hex4005c7c

67132540 has 24 divisors (see below), whose sum is σ = 141372000. Its totient is φ = 26778048.

The previous prime is 67132537. The next prime is 67132543. The reversal of 67132540 is 4523176.

It is an interprime number because it is at equal distance from previous prime (67132537) and next prime (67132543).

It is a super-3 number, since 3×671325403 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67132499 and 67132508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67132543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2961 + ... + 11959.

It is an arithmetic number, because the mean of its divisors is an integer number (5890500).

Almost surely, 267132540 is an apocalyptic number.

It is an amenable number.

67132540 is an abundant number, since it is smaller than the sum of its proper divisors (74239460).

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

67132540 is a wasteful number, since it uses less digits than its factorization.

67132540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 67132540 is about 8193.4449409269. Note that the first 3 decimals coincide. The cubic root of 67132540 is about 406.4224533314.

The spelling of 67132540 in words is "sixty-seven million, one hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 3730 7460 8999 17998 35996 44995 89990 179980 3356627 6713254 13426508 16783135 33566270 67132540