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67696002 = 232113141269
BaseRepresentation
bin1000000100011…
…11010110000010
311201101022110100
410002033112002
5114312233002
610414543230
71451256303
oct402172602
9151338410
1067696002
1135238010
121a807b16
1311042c0a
148dc27aa
155e2311c
hex408f582

67696002 has 96 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 19296000.

The previous prime is 67696001. The next prime is 67696003. The reversal of 67696002 is 20069676.

It is an interprime number because it is at equal distance from previous prime (67696001) and next prime (67696003).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67696001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251524 + ... + 251792.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 267696002 is an apocalyptic number.

67696002 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67696002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

67696002 is an abundant number, since it is smaller than the sum of its proper divisors (102131838).

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

67696002 is a wasteful number, since it uses less digits than its factorization.

67696002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 67696002 is about 8227.7580178321. The cubic root of 67696002 is about 407.5563588980.

The spelling of 67696002 in words is "sixty-seven million, six hundred ninety-six thousand, two".

Divisors: 1 2 3 6 9 11 18 22 31 33 41 62 66 82 93 99 123 186 198 246 269 279 341 369 451 538 558 682 738 807 902 1023 1271 1353 1614 2046 2421 2542 2706 2959 3069 3813 4059 4842 5918 6138 7626 8118 8339 8877 11029 11439 13981 16678 17754 22058 22878 25017 26631 27962 33087 41943 50034 53262 66174 75051 83886 91729 99261 121319 125829 150102 183458 198522 242638 251658 275187 341899 363957 550374 683798 727914 825561 1025697 1091871 1651122 2051394 2183742 3077091 3760889 6154182 7521778 11282667 22565334 33848001 67696002