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80717406 = 23721122269
BaseRepresentation
bin1001100111110…
…10011001011110
312121212212110120
410303322121132
5131130424111
612002015410
72000041500
oct463723136
9177785416
1080717406
1141621200
1223047566
1313951aa3
14aa11d70
157146406
hex4cfa65e

80717406 has 72 divisors (see below), whose sum is σ = 206506440. Its totient is φ = 20956320.

The previous prime is 80717389. The next prime is 80717431. The reversal of 80717406 is 60471708.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34440 + ... + 36708.

It is an arithmetic number, because the mean of its divisors is an integer number (2868145).

Almost surely, 280717406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80717406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103253220).

80717406 is an abundant number, since it is smaller than the sum of its proper divisors (125789034).

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

80717406 is a wasteful number, since it uses less digits than its factorization.

80717406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 80717406 is about 8984.2866160870. The cubic root of 80717406 is about 432.1711106282.

The spelling of 80717406 in words is "eighty million, seven hundred seventeen thousand, four hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1617 1694 2269 2541 3234 4538 5082 5929 6807 11858 13614 15883 17787 24959 31766 35574 47649 49918 74877 95298 111181 149754 174713 222362 274549 333543 349426 524139 549098 667086 823647 1048278 1222991 1647294 1921843 2445982 3668973 3843686 5765529 7337946 11531058 13452901 26905802 40358703 80717406