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67054240 = 25511311229
BaseRepresentation
bin1111111111001…
…0101010100000
311200011201010101
43333302222200
5114131213430
610353112144
71442644261
oct377625240
9150151111
1067054240
1134939930
121a558654
1310b79a86
148c96968
155d47dca
hex3ff2aa0

67054240 has 96 divisors (see below), whose sum is σ = 178536960. Its totient is φ = 23577600.

The previous prime is 67054219. The next prime is 67054241. The reversal of 67054240 is 4245076.

It is a super-2 number, since 2×670542402 = 8992542203955200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67054199 and 67054208.

It is not an unprimeable number, because it can be changed into a prime (67054241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53946 + ... + 55174.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 267054240 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 67054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89268480).

67054240 is an abundant number, since it is smaller than the sum of its proper divisors (111482720).

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

67054240 is a wasteful number, since it uses less digits than its factorization.

67054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 67054240 is about 8188.6653369154. The cubic root of 67054240 is about 406.2643816605.

The spelling of 67054240 in words is "sixty-seven million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1229 1240 1364 1705 1760 2458 2480 2728 3410 4916 4960 5456 6145 6820 9832 10912 12290 13519 13640 19664 24580 27038 27280 38099 39328 49160 54076 54560 67595 76198 98320 108152 135190 152396 190495 196640 216304 270380 304792 380990 419089 432608 540760 609584 761980 838178 1081520 1219168 1523960 1676356 2095445 2163040 3047920 3352712 4190890 6095840 6705424 8381780 13410848 16763560 33527120 67054240