Search a number
-
+
67717216 = 2572192273
BaseRepresentation
bin1000000100101…
…00100001100000
311201102101120001
410002110201200
5114313422331
610415225344
71451405200
oct402244140
9151371501
1067717216
1135251a46
121a818254
131104c778
148dca400
155e29561
hex4094860

67717216 has 72 divisors (see below), whose sum is σ = 163318680. Its totient is φ = 27482112.

The previous prime is 67717213. The next prime is 67717219. The reversal of 67717216 is 61271776.

It is an interprime number because it is at equal distance from previous prime (67717213) and next prime (67717219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67717211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28656 + ... + 30928.

It is an arithmetic number, because the mean of its divisors is an integer number (2268315).

Almost surely, 267717216 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 67717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81659340).

67717216 is an abundant number, since it is smaller than the sum of its proper divisors (95601464).

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

67717216 is a wasteful number, since it uses less digits than its factorization.

67717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2301 counting only the distinct ones).

The product of its digits is 24696, while the sum is 37.

The square root of 67717216 is about 8229.0470894266. The cubic root of 67717216 is about 407.5989266389.

The spelling of 67717216 in words is "sixty-seven million, seven hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 2273 3724 4256 4546 7448 9092 14896 15911 18184 29792 31822 36368 43187 63644 72736 86374 111377 127288 172748 222754 254576 302309 345496 445508 509152 604618 690992 891016 1209236 1381984 1782032 2116163 2418472 3564064 4232326 4836944 8464652 9673888 16929304 33858608 67717216