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67466740 = 22511449683
BaseRepresentation
bin1000000010101…
…11010111110100
311200221122222011
410001113113310
5114232413430
610410014004
71446313015
oct401272764
9150848864
1067466740
11350a0840
121a717304
1310c92763
148d6300c
155dca22a
hex40575f4

67466740 has 48 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 24442880.

The previous prime is 67466723. The next prime is 67466741. The reversal of 67466740 is 4766476.

It is a super-2 number, since 2×674667402 = 9103522012455200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67466693 and 67466702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67466741) by changing a digit.

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, 98439 + ... + 99121.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 267466740 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 67466740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

67466740 is an abundant number, since it is smaller than the sum of its proper divisors (87664460).

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

67466740 is a wasteful number, since it uses less digits than its factorization.

67466740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 67466740 is about 8213.8139740318. The cubic root of 67466740 is about 407.0957562948.

The spelling of 67466740 in words is "sixty-seven million, four hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 449 683 898 1366 1796 2245 2732 3415 4490 4939 6830 7513 8980 9878 13660 15026 19756 24695 30052 37565 49390 75130 98780 150260 306667 613334 1226668 1533335 3066670 3373337 6133340 6746674 13493348 16866685 33733370 67466740