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667514540 = 2257111273413
BaseRepresentation
bin100111110010010…
…111011010101100
31201112001020210202
4213302113122230
52331340431130
6150123053032
722353531350
oct4762273254
91645036722
10667514540
11312881610
12167671178
13a83a7024
146491d460
153d907145
hex27c976ac

667514540 has 96 divisors (see below), whose sum is σ = 1761951744. Its totient is φ = 206357760.

The previous prime is 667514527. The next prime is 667514543. The reversal of 667514540 is 45415766.

It is a super-2 number, since 2×6675145402 = 891151322222823200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 667514494 and 667514503.

It is not an unprimeable number, because it can be changed into a prime (667514543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193874 + ... + 197286.

It is an arithmetic number, because the mean of its divisors is an integer number (18353664).

Almost surely, 2667514540 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 667514540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880975872).

667514540 is an abundant number, since it is smaller than the sum of its proper divisors (1094437204).

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

667514540 is a wasteful number, since it uses less digits than its factorization.

667514540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 667514540 is about 25836.3027540707. The cubic root of 667514540 is about 873.9506506355.

The spelling of 667514540 in words is "six hundred sixty-seven million, five hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 127 140 154 220 254 308 385 508 635 770 889 1270 1397 1540 1778 2540 2794 3413 3556 4445 5588 6826 6985 8890 9779 13652 13970 17065 17780 19558 23891 27940 34130 37543 39116 47782 48895 68260 75086 95564 97790 119455 150172 187715 195580 238910 262801 375430 433451 477820 525602 750860 866902 1051204 1314005 1733804 2167255 2628010 3034157 4334510 4767961 5256020 6068314 8669020 9535922 12136628 15170785 19071844 23839805 30341570 33375727 47679610 60683140 66751454 95359220 133502908 166878635 333757270 667514540