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67991140 = 22574710333
BaseRepresentation
bin1000000110101…
…11011001100100
311201221022022101
410003113121210
5114401204030
610425141444
71453625620
oct403273144
9151838271
1067991140
1135419828
121a92a884
1311117359
14905c180
155e807ca
hex40d7664

67991140 has 48 divisors (see below), whose sum is σ = 166666752. Its totient is φ = 22813056.

The previous prime is 67991129. The next prime is 67991141. The reversal of 67991140 is 4119976.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67991140.

It is not an unprimeable number, because it can be changed into a prime (67991141) 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, 1414 + ... + 11746.

It is an arithmetic number, because the mean of its divisors is an integer number (3472224).

Almost surely, 267991140 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 67991140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83333376).

67991140 is an abundant number, since it is smaller than the sum of its proper divisors (98675612).

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

67991140 is a wasteful number, since it uses less digits than its factorization.

67991140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396 (or 10394 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 67991140 is about 8245.6740173257. The cubic root of 67991140 is about 408.1477822334.

It can be divided in two parts, 679 and 91140, that added together give a palindrome (91819).

The spelling of 67991140 in words is "sixty-seven million, nine hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 10333 20666 41332 51665 72331 103330 144662 206660 289324 361655 485651 723310 971302 1446620 1942604 2428255 3399557 4856510 6799114 9713020 13598228 16997785 33995570 67991140